Question

the diagonals of a rhombus measure 16 cm and 30 cm  .find its perimeter    ( in easy way)

Answer 1

Since , Diagonals of a rhombus bisect each other equally & at 90° ,


So , Consider a small right angled triangle is that , sides will become , 8 cm & 15 cm

now , calculating hypotenuse i.e. side of rhombus ,

let c it be , & other a & b

⇒ c² = a² + b²

⇒ c² = 225 + 64

⇒ c = 17cm

Now , perimeter = 4 × c

⇒ P = 4 × 17 = 68cm