Question

Perimeter of a rhombus is 146 cm and the length of one of its diagonals is 48 cm. Find the length of its other diagonal.​

Answer 1

Perimeter of rhombus = 4x (x is a side)

146 = 4x

x = 146/4

x = 36.5 cm.

Suppose ABCD is a rhombus.

digonal AC and BD interscts at point O.

In Δ ADB,

by Apollonius theorem,

AD^2 + AB^2 = 2(AO^2) + 2(DO^2)