Question

2. One pair of adjacent sides of a parallelogram is in the ratio of 3:4.If one of its angles is right
angle and one of its diagonal is 10 cm.Find all the sides of the parallelogram and Perimeter of
the parallelogram. ​

Answer 1

Step-by-step explanation:

Let the two sides be 3x and 4x.

In a parallelogram the opposite sides are congruent.

So, the sides are 3x,3x,4x and 4x

Perimeter =112cm

3x+3x+4x+4x=112

⇒14x=112

⇒x=

14

112

⇒x=8

So 3x=3×8=24cm

4x=4×8=32cm

Thus, the sides are 24cm,32cm,24cm and 32cm.