Question

The length of one side of rhombus is 7.5cm and its altitude is 10 cm. if lengths of its diagonal be 30 cm. the length of other diagonal will be

Answer 1

Answer: length of other diagonal is 5 cm

Step-by-step explanation:

We know if rhombus' side and height are a cm and h cm respectively

Then it's area = ah sq cm

Also, if two diagonal p cm and q cm

Then, area = pq /2

From the above expressions, we get,

p = 2ah/q

We have, q= 30 cm , a = 7.5 cm, h = 10 cm

So, p= (2×7.5×10)/30 = 5 cm