Question

2. RENT is a rectangle (Fig. 3.43). Its diagonals meet at O. Find 'r', if OR = 2r + 4 and OT = 3x + 1.​

Answer 1

Answer:

Observe that OR=OT (diagonal bisect each other and they are equal in a rectangle). Hence

2x+4=3x+1.

This implies that 4−1=3x−2x=3=x.

Hence x=3.

Answer 2

We know that OR = OT here, since they are halves of the diagonal of the same rectangle.

therefore, 2r + 4 = 3x + 1
2r = 3x - 3
Finally,
r = (3/2) (x - 1).