Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Chapter 10.4, Problem 26PPS
To determine

Calculate missing element in a=30 in, b=?, c=40 in

Expert Solution & Answer
Check Mark

Answer to Problem 26PPS

Value of b = 26.457 in

Explanation of Solution

Given:

  a=30 in, c=40 in

Calculations:

When hypotenuse is given, it is clear that angle opposite to hypotenuse is always 900 . Therefore, we can say that a, b, c are the sides of right angle triangle. Missing element of right angle triangle can be calculated by using Pythagoras theorem.

As per Pythagoras theorem, hypotenuse square is equal to sum of square of remaining two sides.

  Base2+Perpendicular2=Hypotenuse2a2+b2=c2302+b2=402b2=1600−900b2=700b=26.457 in

Conclusion:

Therefore, we are able to calculate missing element of right angle triangle using Pythagoras theorem.

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Chapter 10.4, Problem 25PPS
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Chapter 10.4, Problem 27PPS

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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