Answered: The perimeter of a rhombus is 52 inches…

Name: The perimeter of a rhombus is 52 inches and one of it's diagonals has
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Description: The perimeter of a rhombus is 52 inches and one of it's diagonals has a length of 24 inches. Find the length of the other diagonal

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.1: Triangles

Problem 2C

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The perimeter of a rhombus is 52 inches and one of it's diagonals has a length of 24 inches. Find the length of the other diagonal

Expert Solution

Step 1

Given that perimeter of the rhombus = 52 cm and Length of the one diagonal $d_{1}$ = 24 cm.

We know that perimeter of the rhombus = 4a

4a = 52

a = $\frac{52}{4}$

a = 13.

Therefore Each side of the rhombus = 13cm.

Since the diagonals of rhombus are bisect each other at right angle

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