Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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Question
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Chapter 5.5, Problem 44HP
To determine

To find: The possibility range of the sides of two isosceles triangle with a given base length.

Expert Solution & Answer
Check Mark

Answer to Problem 44HP

The range of the side of the triangle is x>3 .

Explanation of Solution

Given information:

The length of the base of the isosceles triangle:

  6

Consider the isosceles triangle having length of two sides x .

Consider the inequality of triangle theorem:

The sum of the lengths of any two sides of a triangle should be greater than the third side.

Consider the third side of the triangle as 6 .

Check the range using the inequality of triangle.

  x+x>62x>6x>3

Consider the third side of the triangle as x .

Check the range using the inequality of triangle.

  x+6>x6>0

Consider the third side of the triangle as x .

Check the range using the inequality of triangle.

  x+6>x6>0

Hence, the range of the side of the triangle is x>3 .

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Chapter 5.5, Problem 43HP
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Chapter 5 Solutions

Geometry, Student Edition

Ch. 5.1 - Prob. 1ACYPCh. 5.1 - Prob. 1BCYPCh. 5.1 - Prob. 1CCYPCh. 5.1 - Prob. 2CYPCh. 5.1 - Prob. 3ACYPCh. 5.1 - Prob. 3BCYPCh. 5.1 - Prob. 3CCYPCh. 5.1 - Prob. 4ACYPCh. 5.1 - Prob. 4BCYPCh. 5.1 - Prob. 1CYU
Ch. 5.1 - Prob. 2CYUCh. 5.1 - Prob. 3CYUCh. 5.1 - Prob. 4CYUCh. 5.1 - Prob. 5CYUCh. 5.1 - Prob. 6CYUCh. 5.1 - Prob. 7CYUCh. 5.1 - Prob. 8CYUCh. 5.1 - Prob. 9PPSCh. 5.1 - Prob. 10PPSCh. 5.1 - Prob. 11PPSCh. 5.1 - Prob. 12PPSCh. 5.1 - Prob. 13PPSCh. 5.1 - Prob. 14PPSCh. 5.1 - Prob. 15PPSCh. 5.1 - Prob. 16PPSCh. 5.1 - Prob. 17PPSCh. 5.1 - Prob. 18PPSCh. 5.1 - Prob. 19PPSCh. 5.1 - Prob. 20PPSCh. 5.1 - Prob. 21PPSCh. 5.1 - Prob. 22PPSCh. 5.1 - Prob. 23PPSCh. 5.1 - Prob. 24PPSCh. 5.1 - Prob. 25PPSCh. 5.1 - Prob. 26PPSCh. 5.1 - Prob. 27PPSCh. 5.1 - Prob. 28PPSCh. 5.1 - Prob. 29PPSCh. 5.1 - Prob. 30PPSCh. 5.1 - Prob. 31PPSCh. 5.1 - Prob. 32PPSCh. 5.1 - Prob. 33PPSCh. 5.1 - Prob. 34PPSCh. 5.1 - Prob. 35PPSCh. 5.1 - Prob. 36PPSCh. 5.1 - Prob. 37PPSCh. 5.1 - Prob. 38PPSCh. 5.1 - Prob. 39PPSCh. 5.1 - Prob. 40PPSCh. 5.1 - Prob. 41PPSCh. 5.1 - Prob. 42PPSCh. 5.1 - Prob. 43PPSCh. 5.1 - Prob. 44PPSCh. 5.1 - Prob. 45PPSCh. 5.1 - Prob. 46PPSCh. 5.1 - Prob. 47PPSCh. 5.1 - Prob. 48HPCh. 5.1 - Prob. 49HPCh. 5.1 - Prob. 50HPCh. 5.1 - Prob. 51HPCh. 5.1 - Prob. 52HPCh. 5.1 - Prob. 53HPCh. 5.1 - Prob. 54HPCh. 5.1 - Prob. 55STPCh. 5.1 - Prob. 56STPCh. 5.1 - Prob. 57STPCh. 5.1 - Prob. 58STPCh. 5.1 - Prob. 59SPRCh. 5.1 - Prob. 60SPRCh. 5.1 - Prob. 61SPRCh. 5.1 - Prob. 62SPRCh. 5.1 - Prob. 63SPRCh. 5.1 - Prob. 64SPRCh. 5.1 - Prob. 65SPRCh. 5.1 - Prob. 66SPRCh. 5.1 - Prob. 67SPRCh. 5.1 - Prob. 68SRCh. 5.1 - Prob. 69SRCh. 5.2 - Prob. 1ACYPCh. 5.2 - Prob. 1BCYPCh. 5.2 - Prob. 2ACYPCh. 5.2 - Prob. 2BCYPCh. 5.2 - Prob. 3CYPCh. 5.2 - Prob. 4CYPCh. 5.2 - Prob. 1CYUCh. 5.2 - Prob. 2CYUCh. 5.2 - Prob. 3CYUCh. 5.2 - Prob. 4CYUCh. 5.2 - Prob. 5PPSCh. 5.2 - Prob. 6PPSCh. 5.2 - Prob. 7PPSCh. 5.2 - Prob. 8PPSCh. 5.2 - Prob. 9PPSCh. 5.2 - Prob. 10PPSCh. 5.2 - Prob. 11PPSCh. 5.2 - Prob. 12PPSCh. 5.2 - Prob. 13PPSCh. 5.2 - Prob. 14PPSCh. 5.2 - Prob. 15PPSCh. 5.2 - Prob. 16PPSCh. 5.2 - Prob. 17PPSCh. 5.2 - Prob. 18PPSCh. 5.2 - Prob. 19PPSCh. 5.2 - Prob. 20PPSCh. 5.2 - Prob. 21PPSCh. 5.2 - Prob. 22PPSCh. 5.2 - Prob. 23PPSCh. 5.2 - Prob. 24PPSCh. 5.2 - Prob. 25PPSCh. 5.2 - Prob. 26PPSCh. 5.2 - Prob. 27PPSCh. 5.2 - Prob. 28PPSCh. 5.2 - Prob. 29PPSCh. 5.2 - Prob. 30PPSCh. 5.2 - Prob. 31PPSCh. 5.2 - Prob. 32PPSCh. 5.2 - Prob. 33PPSCh. 5.2 - Prob. 34PPSCh. 5.2 - Prob. 35PPSCh. 5.2 - Prob. 36PPSCh. 5.2 - Prob. 37HPCh. 5.2 - Prob. 38HPCh. 5.2 - Prob. 39HPCh. 5.2 - Prob. 40HPCh. 5.2 - Prob. 41HPCh. 5.2 - Prob. 42HPCh. 5.2 - Prob. 43HPCh. 5.2 - Prob. 44STPCh. 5.2 - Prob. 45STPCh. 5.2 - Prob. 46STPCh. 5.2 - Prob. 47STPCh. 5.2 - Prob. 48SPRCh. 5.2 - Prob. 49SPRCh. 5.2 - Prob. 50SPRCh. 5.2 - Prob. 51SPRCh. 5.2 - Prob. 52SPRCh. 5.2 - Prob. 53SPRCh. 5.2 - Prob. 54SPRCh. 5.2 - Prob. 55SPRCh. 5.2 - Prob. 56SRCh. 5.3 - Prob. 1ACYPCh. 5.3 - Prob. 1BCYPCh. 5.3 - Prob. 2CYPCh. 5.3 - Prob. 3CYPCh. 5.3 - Prob. 4CYPCh. 5.3 - Prob. 1CYUCh. 5.3 - Prob. 2CYUCh. 5.3 - Prob. 3CYUCh. 5.3 - Prob. 4CYUCh. 5.3 - Prob. 5CYUCh. 5.3 - Prob. 6CYUCh. 5.3 - Prob. 7CYUCh. 5.3 - Prob. 8PPSCh. 5.3 - Prob. 9PPSCh. 5.3 - Prob. 10PPSCh. 5.3 - Prob. 11PPSCh. 5.3 - Prob. 12PPSCh. 5.3 - Prob. 13PPSCh. 5.3 - Prob. 14PPSCh. 5.3 - Prob. 15PPSCh. 5.3 - Prob. 16PPSCh. 5.3 - Prob. 17PPSCh. 5.3 - Prob. 18PPSCh. 5.3 - Prob. 19PPSCh. 5.3 - Prob. 20PPSCh. 5.3 - Prob. 21PPSCh. 5.3 - Prob. 22PPSCh. 5.3 - Prob. 23PPSCh. 5.3 - Prob. 24PPSCh. 5.3 - Prob. 25PPSCh. 5.3 - Prob. 26PPSCh. 5.3 - Prob. 27PPSCh. 5.3 - Prob. 28PPSCh. 5.3 - Prob. 29PPSCh. 5.3 - Prob. 30PPSCh. 5.3 - Prob. 31PPSCh. 5.3 - Prob. 32PPSCh. 5.3 - Prob. 33PPSCh. 5.3 - Prob. 34PPSCh. 5.3 - Prob. 35PPSCh. 5.3 - Prob. 36PPSCh. 5.3 - Prob. 37PPSCh. 5.3 - Prob. 38PPSCh. 5.3 - Prob. 39PPSCh. 5.3 - Prob. 40PPSCh. 5.3 - Prob. 41PPSCh. 5.3 - Prob. 42PPSCh. 5.3 - Prob. 43HPCh. 5.3 - Prob. 44HPCh. 5.3 - Prob. 45HPCh. 5.3 - Prob. 46HPCh. 5.3 - Prob. 47HPCh. 5.3 - Prob. 48HPCh. 5.3 - Prob. 49STPCh. 5.3 - Prob. 50STPCh. 5.3 - Prob. 51STPCh. 5.3 - Prob. 52STPCh. 5.3 - Prob. 53SPRCh. 5.3 - Prob. 54SPRCh. 5.3 - Prob. 55SPRCh. 5.3 - Prob. 56SPRCh. 5.3 - Prob. 57SPRCh. 5.3 - Prob. 58SPRCh. 5.3 - Prob. 59SRCh. 5.3 - Prob. 60SRCh. 5.3 - Prob. 61SRCh. 5.4 - Prob. 1ACYPCh. 5.4 - Prob. 1BCYPCh. 5.4 - Prob. 1CCYPCh. 5.4 - Prob. 2ACYPCh. 5.4 - Prob. 2BCYPCh. 5.4 - Prob. 3CYPCh. 5.4 - Prob. 4CYPCh. 5.4 - Prob. 5CYPCh. 5.4 - Prob. 1CYUCh. 5.4 - Prob. 2CYUCh. 5.4 - Prob. 3CYUCh. 5.4 - Prob. 4CYUCh. 5.4 - Prob. 5CYUCh. 5.4 - Prob. 6CYUCh. 5.4 - Prob. 7CYUCh. 5.4 - Prob. 8CYUCh. 5.4 - Prob. 9CYUCh. 5.4 - Prob. 10CYUCh. 5.4 - Prob. 11PPSCh. 5.4 - Prob. 12PPSCh. 5.4 - Prob. 13PPSCh. 5.4 - Prob. 14PPSCh. 5.4 - Prob. 15PPSCh. 5.4 - Prob. 16PPSCh. 5.4 - Prob. 17PPSCh. 5.4 - Prob. 18PPSCh. 5.4 - Prob. 19PPSCh. 5.4 - Prob. 20PPSCh. 5.4 - Prob. 21PPSCh. 5.4 - Prob. 22PPSCh. 5.4 - Prob. 23PPSCh. 5.4 - Prob. 24PPSCh. 5.4 - Prob. 25PPSCh. 5.4 - Prob. 26PPSCh. 5.4 - Prob. 27PPSCh. 5.4 - Prob. 28PPSCh. 5.4 - Prob. 29PPSCh. 5.4 - Prob. 30PPSCh. 5.4 - Prob. 31PPSCh. 5.4 - Prob. 32PPSCh. 5.4 - Prob. 33PPSCh. 5.4 - Prob. 34PPSCh. 5.4 - Prob. 35PPSCh. 5.4 - Prob. 36PPSCh. 5.4 - Prob. 37PPSCh. 5.4 - Prob. 38PPSCh. 5.4 - Prob. 39PPSCh. 5.4 - Prob. 40HPCh. 5.4 - Prob. 41HPCh. 5.4 - Prob. 42HPCh. 5.4 - Prob. 43HPCh. 5.4 - Prob. 44HPCh. 5.4 - Prob. 45STPCh. 5.4 - Prob. 46STPCh. 5.4 - Prob. 47STPCh. 5.4 - Prob. 48STPCh. 5.4 - Prob. 49SPRCh. 5.4 - Prob. 50SPRCh. 5.4 - Prob. 51SPRCh. 5.4 - Prob. 52SPRCh. 5.4 - Prob. 53SPRCh. 5.4 - Prob. 54SPRCh. 5.4 - Prob. 55SPRCh. 5.4 - Prob. 56SPRCh. 5.4 - Prob. 57SRCh. 5.4 - Prob. 58SRCh. 5.4 - Prob. 59SRCh. 5.5 - Prob. 1ACYPCh. 5.5 - Prob. 1BCYPCh. 5.5 - Prob. 2CYPCh. 5.5 - Prob. 3CYPCh. 5.5 - Prob. 1CYUCh. 5.5 - Prob. 2CYUCh. 5.5 - Prob. 3CYUCh. 5.5 - Prob. 4CYUCh. 5.5 - Prob. 5CYUCh. 5.5 - Prob. 6PPSCh. 5.5 - Prob. 7PPSCh. 5.5 - Prob. 8PPSCh. 5.5 - Prob. 9PPSCh. 5.5 - Prob. 10PPSCh. 5.5 - Prob. 11PPSCh. 5.5 - Prob. 12PPSCh. 5.5 - Prob. 13PPSCh. 5.5 - Prob. 14PPSCh. 5.5 - Prob. 15PPSCh. 5.5 - Prob. 16PPSCh. 5.5 - Prob. 17PPSCh. 5.5 - Prob. 18PPSCh. 5.5 - Prob. 19PPSCh. 5.5 - Prob. 20PPSCh. 5.5 - Prob. 21PPSCh. 5.5 - Prob. 22PPSCh. 5.5 - Prob. 23PPSCh. 5.5 - Prob. 24PPSCh. 5.5 - Prob. 25PPSCh. 5.5 - Prob. 26PPSCh. 5.5 - Prob. 27PPSCh. 5.5 - Prob. 28PPSCh. 5.5 - Prob. 29PPSCh. 5.5 - Prob. 30PPSCh. 5.5 - Prob. 31PPSCh. 5.5 - Prob. 32PPSCh. 5.5 - Prob. 33PPSCh. 5.5 - Prob. 34PPSCh. 5.5 - Prob. 35PPSCh. 5.5 - Prob. 36PPSCh. 5.5 - Prob. 37PPSCh. 5.5 - Prob. 38PPSCh. 5.5 - Prob. 39PPSCh. 5.5 - Prob. 40PPSCh. 5.5 - Prob. 41PPSCh. 5.5 - Prob. 42PPSCh. 5.5 - Prob. 43HPCh. 5.5 - Prob. 44HPCh. 5.5 - Prob. 45HPCh. 5.5 - Prob. 46HPCh. 5.5 - Prob. 47HPCh. 5.5 - Prob. 48HPCh. 5.5 - Prob. 49STPCh. 5.5 - Prob. 50STPCh. 5.5 - Prob. 51STPCh. 5.5 - Prob. 52STPCh. 5.5 - Prob. 53SPRCh. 5.5 - Prob. 54SPRCh. 5.5 - Prob. 55SPRCh. 5.5 - Prob. 56SPRCh. 5.5 - Prob. 57SPRCh. 5.5 - Prob. 58SPRCh. 5.5 - Prob. 59SPRCh. 5.5 - Prob. 60SPRCh. 5.5 - Prob. 61SRCh. 5.5 - Prob. 62SRCh. 5.5 - Prob. 63SRCh. 5.6 - Prob. 1ACYPCh. 5.6 - Prob. 1BCYPCh. 5.6 - Prob. 2ACYPCh. 5.6 - Prob. 2BCYPCh. 5.6 - Prob. 3CYPCh. 5.6 - Prob. 4CYPCh. 5.6 - Prob. 5CYPCh. 5.6 - Prob. 1CYUCh. 5.6 - Prob. 2CYUCh. 5.6 - Prob. 3CYUCh. 5.6 - Prob. 4CYUCh. 5.6 - Prob. 5CYUCh. 5.6 - Prob. 6CYUCh. 5.6 - Prob. 7CYUCh. 5.6 - Prob. 8CYUCh. 5.6 - Prob. 9CYUCh. 5.6 - Prob. 10PPSCh. 5.6 - Prob. 11PPSCh. 5.6 - Prob. 12PPSCh. 5.6 - Prob. 13PPSCh. 5.6 - Prob. 14PPSCh. 5.6 - Prob. 15PPSCh. 5.6 - Prob. 16PPSCh. 5.6 - Prob. 17PPSCh. 5.6 - Prob. 18PPSCh. 5.6 - Prob. 19PPSCh. 5.6 - Prob. 20PPSCh. 5.6 - Prob. 21PPSCh. 5.6 - Prob. 22PPSCh. 5.6 - Prob. 23PPSCh. 5.6 - Prob. 24PPSCh. 5.6 - Prob. 25PPSCh. 5.6 - Prob. 26PPSCh. 5.6 - Prob. 27PPSCh. 5.6 - Prob. 28PPSCh. 5.6 - Prob. 29PPSCh. 5.6 - Prob. 30PPSCh. 5.6 - Prob. 31PPSCh. 5.6 - Prob. 32PPSCh. 5.6 - Prob. 33PPSCh. 5.6 - Prob. 34PPSCh. 5.6 - Prob. 35PPSCh. 5.6 - Prob. 36PPSCh. 5.6 - Prob. 37PPSCh. 5.6 - Prob. 38HPCh. 5.6 - Prob. 39HPCh. 5.6 - Prob. 40HPCh. 5.6 - Prob. 41HPCh. 5.6 - Prob. 42HPCh. 5.6 - Prob. 43STPCh. 5.6 - Prob. 44STPCh. 5.6 - Prob. 45STPCh. 5.6 - Prob. 46STPCh. 5.6 - Prob. 47SPRCh. 5.6 - Prob. 48SPRCh. 5.6 - Prob. 49SPRCh. 5.6 - Prob. 50SPRCh. 5.6 - Prob. 51SPRCh. 5.6 - Prob. 52SPRCh. 5.6 - Prob. 53SPRCh. 5.6 - Prob. 54SPRCh. 5.6 - Prob. 55SPRCh. 5.6 - Prob. 56SRCh. 5.6 - Prob. 57SRCh. 5.6 - Prob. 58SRCh. 5 - Prob. 1GRFCCh. 5 - Prob. 2GRFCCh. 5 - Prob. 3GRFCCh. 5 - Prob. 4GRFCCh. 5 - Prob. 5GRFCCh. 5 - Prob. 6GRFCCh. 5 - Prob. 7GRFCCh. 5 - Prob. 8GRFCCh. 5 - Prob. 9GRFCCh. 5 - Prob. 10GRFCCh. 5 - Prob. 11GRFCCh. 5 - Prob. 12GRFCCh. 5 - Prob. 1MCQCh. 5 - Prob. 2MCQCh. 5 - Prob. 3MCQCh. 5 - Prob. 4MCQCh. 5 - Prob. 5MCQCh. 5 - Prob. 6MCQCh. 5 - Prob. 7MCQCh. 5 - Prob. 8MCQCh. 5 - Prob. 9MCQCh. 5 - Prob. 10MCQCh. 5 - Prob. 11MCQCh. 5 - Prob. 12MCQCh. 5 - Prob. 13MCQCh. 5 - Prob. 14MCQCh. 5 - Prob. 15MCQCh. 5 - Prob. 16MCQCh. 5 - Prob. 17MCQCh. 5 - Prob. 18MCQCh. 5 - Prob. 19MCQCh. 5 - Prob. 1SGRCh. 5 - Prob. 2SGRCh. 5 - Prob. 3SGRCh. 5 - Prob. 4SGRCh. 5 - Prob. 5SGRCh. 5 - Prob. 6SGRCh. 5 - Prob. 7SGRCh. 5 - Prob. 8SGRCh. 5 - Prob. 9SGRCh. 5 - Prob. 10SGRCh. 5 - Prob. 11SGRCh. 5 - Prob. 12SGRCh. 5 - Prob. 13SGRCh. 5 - Prob. 14SGRCh. 5 - Prob. 15SGRCh. 5 - Prob. 16SGRCh. 5 - Prob. 17SGRCh. 5 - Prob. 18SGRCh. 5 - Prob. 19SGRCh. 5 - Prob. 20SGRCh. 5 - Prob. 21SGRCh. 5 - Prob. 22SGRCh. 5 - Prob. 23SGRCh. 5 - Prob. 24SGRCh. 5 - Prob. 25SGRCh. 5 - Prob. 26SGRCh. 5 - Prob. 27SGRCh. 5 - Prob. 28SGRCh. 5 - Prob. 29SGRCh. 5 - Prob. 30SGRCh. 5 - Prob. 31SGRCh. 5 - Prob. 32SGRCh. 5 - Prob. 33SGRCh. 5 - Prob. 1PTCh. 5 - Prob. 2PTCh. 5 - Prob. 3PTCh. 5 - Prob. 4PTCh. 5 - Prob. 5PTCh. 5 - Prob. 6PTCh. 5 - Prob. 7PTCh. 5 - Prob. 8PTCh. 5 - Prob. 9PTCh. 5 - Prob. 10PTCh. 5 - Prob. 11PTCh. 5 - Prob. 12PTCh. 5 - Prob. 13PTCh. 5 - Prob. 14PTCh. 5 - Prob. 15PTCh. 5 - Prob. 16PTCh. 5 - Prob. 17PTCh. 5 - Prob. 18PTCh. 5 - Prob. 19PTCh. 5 - Prob. 20PTCh. 5 - Prob. 21PTCh. 5 - Prob. 22PTCh. 5 - Prob. 23PTCh. 5 - Prob. 24PTCh. 5 - Prob. 25PTCh. 5 - Prob. 1ECh. 5 - Prob. 2ECh. 5 - Prob. 3ECh. 5 - Prob. 4ECh. 5 - Prob. 5ECh. 5 - Prob. 1STPCh. 5 - Prob. 2STPCh. 5 - Prob. 3STPCh. 5 - Prob. 4STPCh. 5 - Prob. 5STPCh. 5 - Prob. 6STPCh. 5 - Prob. 7STPCh. 5 - Prob. 8STPCh. 5 - Prob. 9STPCh. 5 - Prob. 10STPCh. 5 - Prob. 11STPCh. 5 - Prob. 12STPCh. 5 - Prob. 13STPCh. 5 - Prob. 14STPCh. 5 - Prob. 15STP

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