Question

The base of a triangle is 24 cm and the correponding altitudeis 16 cm.the area of a rhombus is equal to area of triangle.if one of diagonals of rhombus is 20 cms

Answer 1

Area of triangle = 1/2 ×base × height

Area of triangle = 1/2 × 24cm ×16cm

Area of triangle = 1/2 × 384 cm^2

Area of triangle = 192cm^2


NOW,
Let one diagonal of rhombus be d

Given , one diagonal = 20cm

Also, area of rhombus = area of triangle

Area of rhombus = 1/2 × product of diagonals

192cm^2 = 1/2 × 20cm × d

192cm^2 = 10cm × d

192cm^2 ÷ 10cm = d

19.2cm = d

=> other diagonal of rhombus = d = 19.2cm