   Chapter 5.4, Problem 11E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

Determine whether each triple ( a , b , c ) is a Pythagorean triple. a)     ( 3 , 4 , 5 )                                                                                       c)     ( 5 , 12 , 13 )         b)     ( 4 , 5 , 6 )                                                                                     d)       ( 6 , 13 , 15 )

To determine

(a)

To Find:

Which triple is a Pythagorean triple.

Explanation

Given triple is (3,4,5).

From the Pythagorean Theorem,

The square of the length of hypotenuse of a right triangle is equal to the sum of the square of the lengths of the other two sides.

Let c be the hypotenuse and a, b are the sides then,

c2=a2+b2

Now given triple (3,4,5) then,

32+42

To determine

(b)

To Find:

Which triple is a Pythagorean triple.

To determine

(c)

To Find:

Which triple is a Pythagorean triple.

To determine

(d)

To Find:

Which triple is a Pythagorean triple.

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