Question

One side of rectangle is 2cm longer than the other side and its diagonal is 10cm. What are the lengths of its sides?​

Answer 1

Answer:

Let One side =X

Other side =X+2

Diagonal =10 cm

Then

(X+2)²+X²=10²

or 2X²+4X-96=0

or X²+2X-48=0

or(X+8)(X-6)=0

Now either ( X+8)=0 i.e. X=-8 cm

or (X-6)=0 i.e. X=6 cm

since Xis positive hence X=6 cm

One side =6 cm

Other side =X+2=6+2=8 cm