Question

4 The base of a triangle is 24cm and the corresponding altitude is 16 cm.the area of a rhombus is equal to the area of triangle.if one of the diagonals of the rhombus is 20 cm,find the lenght of the other diagonal​

Answer 1

Answer:

Given the base and altitude of triangle are 24cm and 16cm

Hence the area of triangle is 1/2(24x16)

= 192 cm²

Given Area of triangle = area of Rhombus

and one of the diagonal of Rhombus is 20cm

we have area of Rhombus= 1/2(d1 x d2)

hence by equating,

192= 1/2(20 x d2)

d2 = (192 x 2)/20

d2 = 19.2 cm

Thanks

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