   Chapter A, Problem 29E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 29-32 Pythagorean Theorem These exercises require the use of the Pythagorean Theorem.One leg of the right angle triangle measures 11   cm . The hypotenuse is 1   cm longer than the other leg. Find the length of the hypotenuse.

To determine

The length of the hypotenuse of the right angle triangle.

Explanation

Given:

The length of one leg of the right angle triangle is 11cm.

The hypotenuse is 1cm longer than the other leg.

Approach:

For a right angle triangle the Pythagorean Theorem is,

a2+b2=c2 ……(1)

Here, a is the perpendicular of the triangle, b is the base of the triangle, and c is the hypotenuse.

Calculation:

Let the length of the other side of the triangle be xcm.

Then, the length of hypotenuse is (x+1).

Substitute 11 for a, x for b and (x+1)cm for c in equation (1), to calculate x.

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