Question

The diagonals of a rhombus are in the ratio of 2:3. If the area is 75cm square, calculate the length of the diagonals.

Answer 1

area of Rohombus = 75 cm²
or 1/2 × 2x×3x
=> 1/2 × 2x×3x = 75 cm²
=> 3 x² = 75 cm²
=> x ²= 25cm²
=> x = 5cm

2x = 10cm
3x = 15cm

Answer 2

Let the diagonals are 2 x and 3 x .

A/Q, 1/2  × 2x ×3x = 75

⇒ 3 x² = 75

⇒ x² = 25

∴ x = 5

Diagonals are 10  cm and 15 cm.