The area of a rhombus is equal to the area of a triangle. If base of triangle is 24cm , its corresponding altitude is 16cm and one of the diagonals of the rhombus is 19.2cm. Find its other diagonal.

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Solution

Area of triangle = 1/2 base × height
=1/2 × 24 × 16
= 192 sq.cm
area of rhombus = product of diagonal / 2
let the diagonal be x
so, 19.2× (x/2) = 192
x = 2 * 192/19.2
x=20 cm
Hope it helps

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The area of a rhombus is equal to the area of a triangle. If base of triangle is 24cm , its corresponding altitude is 16cm and one of the diagonals of the rhombus is 19.2cm. Find its other diagonal.

Area of triangle = 1/2 base × height =1/2 × 24 × 16 = 192 sq.cm area of rhombus = product of diagonal / 2 let the diagonal be x so, 19.2× (x/2) = 192 x = 2 * 192/19.2 x=20 cm Hope it helps

Area of triangle = 1/2 base × height
=1/2 × 24 × 16
= 192 sq.cm
area of rhombus = product of diagonal / 2
let the diagonal be x
so, 19.2× (x/2) = 192
x = 2 * 192/19.2
x=20 cm
Hope it helps