Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 253: 24

Answer

So the distance of the congruent sides = 5

Work Step by Step

As we know the diagonals of a rhombus equally divides each other at $90^{\circ}$. So the distance of the congruent sides is the hypotenuse of the right triangle formed by the diagonals of the rhombus . The two sides of the triangle are half of the diagonals means 3 and 4. $Hypotenuse^{2}= 3^{2}+4^{2}$ Hypotenuse = 5 So the distance of the congruent sides = 5.
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