Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Chapter 10.6, Problem 25HP
To determine

To explain: whether a given triangle is a triangle or not.

Expert Solution & Answer
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Answer to Problem 25HP

The triangle will indeed be a 30∘−60∘−90∘ triangle

Explanation of Solution

Given:

Length of a triangle is 21 cm, 42 cm and 36.4 cm

Calculation:

The objective of the question is to validate if a given triangle is a triangle or not.

Assume the given triangle to be a 30∘−60∘−90∘ triangle.

Then,

Pre-Algebra Student Edition, Chapter 10.6, Problem 25HP

In a right angles triangle with angle measures of 30∘,60∘&90∘ and smaller leg equal to a , the longer leg is given by a3 and the hypotenuse will be given by the term 2a .

Take the smallest leg and find the longer leg and the hypotenuse.

Match them to their corresponding values as given. If they match, then the triangle is a. 30∘−60∘−90∘ Triangle.

  a=21cm

The longer leg will be given by a3

Keeping values,

Longer leg = 213

Or, longer leg = 36.4cm

The hypotenuse will be given by 2a

Keeping the values.

  Hypotenuse=21⋅2=42cm

The given values are

Smaller leg =21cm

Longer leg = 36.4cm

Hypotenuse =42cm

Clearly both values match and hence the triangle will indeed be a 30∘−60∘−90∘ triangle.

Conclusion:

Hence the triangle will indeed be a 30∘−60∘−90∘ triangle

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Chapter 10.6, Problem 24HP
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Chapter 10.6, Problem 26HP

Chapter 10 Solutions

Pre-Algebra Student Edition

Ch. 10.1 - Prob. 1AGPCh. 10.1 - Prob. 1BGPCh. 10.1 - Prob. 1CGPCh. 10.1 - Prob. 1DGPCh. 10.1 - Prob. 2AGPCh. 10.1 - Prob. 2BGPCh. 10.1 - Prob. 3AGPCh. 10.1 - Prob. 3BGPCh. 10.1 - Prob. 4AGPCh. 10.1 - Prob. 4BGP
Ch. 10.1 - Prob. 4CGPCh. 10.1 - Prob. 4DGPCh. 10.1 - Prob. 5GPCh. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10CYUCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40HPCh. 10.1 - Prob. 41HPCh. 10.1 - Prob. 42HPCh. 10.1 - Prob. 43HPCh. 10.1 - 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Prob. 8PPSCh. 10.5 - Prob. 9PPSCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22PPSCh. 10.5 - Prob. 23PPSCh. 10.5 - Prob. 24PPSCh. 10.5 - Prob. 25PPSCh. 10.5 - Prob. 26PPSCh. 10.5 - Prob. 27HPCh. 10.5 - Prob. 28HPCh. 10.5 - Prob. 29HPCh. 10.5 - Prob. 30HPCh. 10.5 - Prob. 31HPCh. 10.5 - Prob. 32STPCh. 10.5 - Prob. 33STPCh. 10.5 - Prob. 34STPCh. 10.5 - Prob. 35STPCh. 10.5 - Prob. 36SRCh. 10.5 - Prob. 37SRCh. 10.5 - Prob. 38SRCh. 10.5 - Prob. 39SRCh. 10.5 - Prob. 40SCh. 10.5 - Prob. 41SCh. 10.5 - Prob. 42SCh. 10.6 - Prob. 1GPCh. 10.6 - Prob. 2GPCh. 10.6 - Prob. 3GPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8CYUCh. 10.6 - Prob. 9PPSCh. 10.6 - Prob. 10PPSCh. 10.6 - Prob. 11PPSCh. 10.6 - Prob. 12PPSCh. 10.6 - Prob. 13PPSCh. 10.6 - Prob. 14PPSCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23HPCh. 10.6 - Prob. 24HPCh. 10.6 - Prob. 25HPCh. 10.6 - Prob. 26HPCh. 10.6 - Prob. 27HPCh. 10.6 - Prob. 28STPCh. 10.6 - Prob. 29STPCh. 10.6 - Prob. 30STPCh. 10.6 - Prob. 31STPCh. 10.6 - Prob. 32SRCh. 10.6 - Prob. 33SRCh. 10.6 - Prob. 34SRCh. 10.6 - Prob. 35SRCh. 10.6 - Prob. 36SRCh. 10.6 - Prob. 37SRCh. 10.6 - Prob. 38SRCh. 10.6 - Prob. 39SRCh. 10.6 - Prob. 40SRCh. 10.6 - Prob. 41SCh. 10.6 - Prob. 42SCh. 10.6 - Prob. 43SCh. 10.6 - Prob. 44SCh. 10.6 - Prob. 45SCh. 10.6 - Prob. 46SCh. 10.6 - Prob. 47SCh. 10.6 - Prob. 48SCh. 10 - Prob. 1QCCh. 10 - Prob. 2QCCh. 10 - Prob. 3QCCh. 10 - Prob. 4QCCh. 10 - Prob. 5QCCh. 10 - Prob. 6QCCh. 10 - Prob. 7QCCh. 10 - Prob. 8QCCh. 10 - Prob. 9QCCh. 10 - Prob. 10QCCh. 10 - 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