Question

The diagonals of a rhombus are in the ratio 5:2. If its perimeter is 104 cm , find the lengths of the sides and diagonals​

Answer 1

Step-by-step explanation:

Its perimeter is 104cm

Perimeter =4xside=104

                 =>  side =26cm

The diagonals of a rhombus are in the ratio 5:12.

Let diagonals are 5x and 12x

Diagonals of rhombus are perpendicular to each other, so  by applying Pythagoras theorem

=> a2=(25x)2+(212x)2

=> 262=4169x2

=>  x=4

Diagonals are 5x=20cm and 12x=48cm

PS : The ratio in your question should be 5:12