Question

The area of a rhombus is equal to the area of a triangle whose base and the corresponding altitude are24.8 cm and16.5 cm respectively. If one of the diagonals of the rhombus is 22 cm , find the length of the other diagonal.

Answer 1

Area of a triangle = 1 by 2× base × height
So, 1 by 2 × 24.8 × 16.5 =
204.6 cm²
So that means that the rhombus must have the same area as the triangle
let the other diagonal be x
Area of a rhombus = 1 by 2 × d1 × d2
So, 1 by 2 × 22 × x = 204.6 cm²
1 by 2 × x = 204.6 ÷ 22
                 =  9.3
 x = 9.3 × 2
    = 18.6 cm
So,the other diagonal must be 18.6 cm