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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Given its lengths of sides, is R S T a right triangle?

a) a = 15 , b = 8 ,   a n d   c = 17

b) a = 11 , b = 8 ,   a n d   c = 15

To determine

a)

To find:

RST is a right triangle or not.

Explanation

Given, In RST,

a=15,b=8 are the legs and c=17 is the hypotenuse.

By Converse of Pythagorean Theorem,

If a,b,c are the length of the three sides of a triangle, with c the length of the longest side, and if c2=a2+b2, then the triangle is a right triangle with the right angle opposite the side of the length c

To determine

b)

To find:

RST is a right triangle or not.

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