Question

The area of a rhombus is equal to the area of a triangle whose base and the corresponding height are 24.8 cm and 16.5 cm respectively. If one of the diagonals of the rhombus is 22 cm find the length of the other diagonal.

Answer 1

Area of rhombus = area of triangle

Area of triangle = 1/2 × base × height
= 1/2 × 24.8 × 16.5 = 12.4 × 16.5 = 204.60 sq cm

Area of rhombus = 1/2 × d1 x d2
1/2 × 22 × d2 = 204.60
d2 = 18.6 cm

Other diagonal = 18.6 cm

Hope This Helps You!

Answer 2

Given
Area of rhombus=Area of triangle
Let the length of other diagonal be y cm

==> 1/2 ×y ×22 =1/2× 22.5× 16.5
==> 22y= 409.2
==> y= 18.6 cm
Therefore the length of the other diagonal of the rhombus is 18.6 cm