Question

The lenght of the diagonals of a rhombus are 24 cm and 10 cm respectively. Find the length of its all side.

Answer 1

1. All sides of rhombus are equal.

2. Diagonals of rhombus bisect each other.

Now, let’s come to the question.

For understanding this question we will take help of this rhombus

According to question,

AC= 24 cm and BD=10 cm

we need to find the perimeter

AE=EC=12 cm and BE=ED=5 cm (Property 2)

Now, in triangle AED, By Pythagoras Theorem

AD^2= AE^2 + ED^2

AD^2= 12^2 + 5^2

AD^2= 144 + 25

AD^2= 169

AD = 13 cm

Perimeter = AB+BC+CD+DA = 13+13+13+13= 52cm (Property 1)

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Answer 2

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