Question

The diagonal of a rhombus are in the ratio 3:4. If the area of the rhombus is 600 cm². Find the side of the rhombus.​

Answer 1

Answer:

Step-by-step explanation:

let the diagonals be 4x and 3x

Area of rhombus =product of diagonals/2

384 =product of diagonals /2

384*2 =4x * 3x

768=12x²

768/12=x²

64=x²

√64=x

8=x

Diagonals =4*8=32 and 3*8=24cm

As we know that diagonals of rhombus bisects each other by 90°  Then by Pythagoras theorem

Side²=half of first diagonal²+ half of second diagonal ²

Side²=(32/2)²+(24/2)²

Side²=16²+12²

Side²=400

Side =20cm