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 39SGR
To determine

To find: the missing length of the given triangle.

Expert Solution & Answer
Check Mark

Answer to Problem 39SGR

The length of the hypotenuse is 37.2 m.

Explanation of Solution

Given:

  Pre-Algebra Student Edition, Chapter 10, Problem 39SGR

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.

In the given figure the legs are given to be 34 m and 15 m and the hypotenuse is given to be equal to variable c.

Thus from Pythagorean Theorem,

  c2=342+152

Or, c2=1156+225

Or, c2=1381

Or, c=±1381

Thus, c=37.2 m (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 37.2 m.

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Chapter 10, Problem 38SGR
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Chapter 10, Problem 40SGR

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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