Math, asked by rkkanishkakanishka, 5 months ago

The lengths of the diagonals of a rhombus
are 24 cm and 10 cm, respectively. Find
the length of all its sides. 13cm, 13 cm, 13cm​

Answers

Answered by rajannanya160
1

Answer:

Diagonals of a rhombus are 24 cm and 10 cm

We know that diagonal of a rhombus bisect each other at 90°. AO = OC & OB = OD & ∠AOB = ∠AOD = ∠BOC = ∠COD = 90°.

Therefore, AO = OC = 5 cm and BO = OD = 12 cm.

In ∆AOB,

AB² = OA² + OB²

[By using Pythagoras theorem]

AB² = 5² + 12²

AB² = 25 + 144

AB²  = 169

AB =  √169  

AB = 13 cm.

Hence, the length of each side of the rhombus is 13 cm.

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