Question

the perimeter of a rohmbus is 100 cm. if one of the diagonal is 40 cm, then find the other diagonal​

Answer 1

Question:-

• The perimeter of a rohmbus is 100 cm. if one of the diagonal is 40 cm, then find the other diagonal.

Answer:-

Given:

• Perimeter = 100cm
• One diagonal is 40cm

To find:

• Find the other diagonal.

Solution:-

We know that the all sides of a rhombus is equal .

We know that the all sides of a rhombus is equal .And given the perimeter of rhombus is 100 cm.

Then side of rhombus = 100/4 = 25cm and given one diagonal is 40cm.

We know that the diagonal of rhombus bisect at triangle and intersect equal parts

We know that the diagonal of rhombus bisect at triangle and intersect equal parts Let other diagonal is 2x.

=> (x)² + (20)² = (25)²

=> x² = 625 - 400

=> x² = 225

=> x = √225

=> x = 15cm

So other diagonal is 2x

=> 2(15)

=> 30cm

Hence, other diagonal is 30cm.