Question

the length of the diagonal of a rhombus are 24 cm and 32 cm the perimeter of the Rhombus is what

Answer 1

Hii friend,

Let ABCD be a rhombus and AC and BD are the Diagonals.

Length of diagonals of RHOMBUS = 24 and 32 cm.

We know that the diagonals of a rhombus bisect each other at right Angles.

Therefore,

OA= OC = 12 cm , OB = OD = 16 cm

Therefore,

By pythagoras theroem,

Side AB = ✓(OA)²+(OB)² = ✓(12)² + (16)² = ✓144 + 256 = ✓400 = 20 cm

Therefore,

Perimeter of rhombus = 4 × AB = 4 × 20 = 80 cm.

HOPE IT WILL HELP YOU..... :-)