   Chapter A, Problem 31E ### 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.Each of the diagonal of a quadrilateral is 27   cm long. Two adjacent sides measures 17   cm and 21   cm . Is the quadrilateral a rectangle.

To determine

If the quadrilateral is a rectangle.

Explanation

Given:

Each of the diagonal of the quadrilateral is 27cm long.

Two adjacent sides measures 17cm and 21cm.

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.

A quadrilateral is a rectangle if all the angles of the quadrilateral are right angles and when the angle is right angle then triangle formed with diagonal will satisfy the Pythagorean Theorem

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