Question

One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 10 cm, what is the

area of the rhombus?​

Answer 1

Answer:

The side of the rhombus = 10 cm.

Let one diagonal be = 2x

The other diagonal = 4x

x^2 + (2x)^2 = 10^2, or

x^2+4x^2 = 5x^2 = 100, or

x^2 = 100/5 = 20

x = 20^0.5 = 4.472135955

So the diagonals are 2*4.472135955 = 8.94427191 cm and 17.88854382 cm

The area of the rhombus = 8.94427191 * 17.88854382/2= 80 sq cm.

Explanation: