Chapter 5.4, Problem 26E

### 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

# An isosceles right triangle has a hypotenuse of length 10 cm. How long is each leg?

To determine

To Find:

Length of the each side of the isosceles triangle.

Explanation

Given An isosceles right triangle has a hypotenuse of length 10 cm.

The figure can be redrawn as,

From the given data,

Length of hypotenuse is 10 cm.

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

From the figure,

AC= 10,

Then the ABC becomes the right triangle.

From the Pythagorean Theorem,

AC2=AB2+BC2<

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