Chapter 5.4, Problem 27E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Each leg of an isosceles right triangle has a length of

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

The figure can be redrawn as,

From the given data,

Length of each leg of the isosceles triangle is

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 =

AC= *x *in.,

As ABC becomes the right triangle.

From the Pythagorean Theorem,

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