Question

Abcd is a rhombus in which a=60°find ac:bd

Answer 1

ABCD is a rhombus.

We know that, the diagonals if the rhombus bisect each other at 90°



and ∠AOD = 90°

In ΔAOD and ΔAOB,

AD = AB         (Sides of rhombus are equal)

∠AOD = ∠AOB     (90°)

OA = OA         (Common)

∴ ΔAODΔAOB (RHS congruence criterion)

⇒ ∠OAD = ∠OAB     (CPCT)

∴ ∠OAD = ∠OAB