Question

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

Answer 1

Answer:

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Answer 2

Here the base and altitude of a triangle are given

base = 24 cm

altitude = 16 cm

Also, one of the diagonal of a rhombus is given to be 20 cm

We have to find the other diagonal

Now, according to the question

area of triangle = area of rhombus

base × height = 1/2 × d1 × d2, where d1 is one diagonal and d2 is another diagonal

24 × 16 = 1/2 × 20× d2

384 = 10 × d2

d2 = 384 / 10

d2 = 38.4

Hence, the length of the other diagonal will be 38.4 cm.