Question

The diagonal of a rhombus are in the ratio 5;12. If uts perimeter is 104 cm, find the lenghts of the sides and the diagonals.

Answer 1

Answer:

20cm,48cm

Step-by-step explanation:

p =104cm

p = 4a

104 =4a

a=26cm

let d1 = 5x ,d2 = 12x

diagonals of rhombus bisect each other in 90

so

26² =( 5x)² + (12x)²

676 = 169 x²

x²=4

x=2

d1 = 10cm

d2= 24cm

full length of the diagonals are

d1 = 2 x 10 =20cm

d2 = 24 x 2 = 48cm