Question

Each side of rhombus is 61 cm and one of its diagonals is 22 cm find 1. the length of the other diagonal 2. the area of the rhombus.​

Answer 1

Step-by-step explanation:

Answered

Diagonals of a rhombus bisect each other at right angles.

Let ABCD be the rhombus, Diagonal AC= 16 cm and side AB = 10 cm.

In right triangle AOB, AB = 10 cm, AO = 8 cm

By Pythagoras theorem, AB2 = AO2 + BO2

(10)2 = (8)2 + BO2

BO2 = (10)2 – (8)2

BO = 6 cm

Diagonal BD = 2 x 6 = 12 cm

Hence length of other diagonal = 12 cm; Area of rhombus = 96 cm2

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