Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Chapter 10, Problem 37SGR
To determine

To find: the missing length of the given triangle

Expert Solution & Answer
Check Mark

Answer to Problem 37SGR

The length of the hypotenuse is 7.8 ft.

Explanation of Solution

Given:

  Pre-Algebra Student Edition, Chapter 10, Problem 37SGR , additional homework tip 1

Calculation:

As per the Pythagorean Theorem, In a right angled triangle, the square of the hypotenuse is equal to the sum of the square of legs of the triangle.

  Pre-Algebra Student Edition, Chapter 10, Problem 37SGR , additional homework tip 2

In the given figure the legs are given to be 5 ft and 6 ft and the hypotenuse is given to be equal to variable c.

Thus from Pythagorean Theorem,

  c2=52+62

Or, c2=25+36

Or, c2=61

Or, c=±61

Thus, c=7.8 ft (note that we will get both negative and positive value on square rooting We need to omit the negative answer since distance is required to be found out which can't be negative).

Conclusion:

Thus the length of the hypotenuse is 7.8 ft.

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Chapter 10, Problem 36SGR
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Chapter 10, Problem 38SGR

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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