Question

One of the diagonals of a rhombus is 30 cm and its perimeter is 68 cm . Find its other diagonal

Answer 1

Answer:

It will be 16 cm in length

Step-by-step explanation:

Refer to the attachment below....

Answer 2

Answer:

16 cm

Step-by-step explanation:

Let the sides be s cm

4s = 68

s = 17

Rhombus is divided into two ∆s of equal area by the diagonal

By heron's formula,

Area of each of the ∆ = √32*(32-30)*(32-17)*(32-17)

This equates out to 120 cm^2

So the area of rhombus = 2*120 = 240 cm^2

Also area of rhombus = 1/2*product of diagonals

So, 1/2*30*d =240

i.e., d = 16 cm.