Chapter 5.4, Problem 27E

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

Elementary Geometry For College St...

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

Each leg of an isosceles right triangle has a length of 6 2 in. What is the length of the hypotenuse?

To determine

To Find:

Length of the hypotenuse of the isosceles triangle.

Explanation

Given Each leg of an isosceles right triangle has a length of 62 in.

The figure can be redrawn as,

From the given data,

Length of each leg of the isosceles triangle is 62 in.

Let the length of the hypotenuse is x in., as it is isosceles triangle then the sides of the two sides are equal.

From the figure,

AB= BC =62 in.

AC= x in.,

As ABC becomes the right triangle.

From the Pythagorean Theorem,

AC2=AB2+<

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