Question

Find the length of the other diagonal of a rhombus whose one digonal is 24cm and length of the side 13cm.

Answer 1

Hey!

Given,
Length = 13 cm
Diagonal = 24 cm


We know,
Pythagoras theorem!
4(side length)²  = d1² + d2²
4(13)² = (24)² + d2²
676-576 = d2²
100 = d2
d2 = 10 cm

Hence, length of another diagonal = 10 cm

Answer 2

One of the diagonals of a rhombus = 24 cm

We know that diagonals of a rhombus bisect each other at right angles.
AC = 24 cm
2OA = 24 cm
OA = 12 cm

In ΔAOB,

AB² = OA² + OB²
13² = 12² + OB²
OB² = 169 - 144
OB² = 25
OB = 5cm

But, BD = 2OB
So, BD = 2 x 5 = 10 cm

Required length of other diagonal is 10 cm

Hope This Helps You!