Question

In the adjoining figure, ABCD and PQRB are rectangles where Q is the mid point of

BD. If QR = 5 cm, then find the length of AB.​

Answer 1

Answer:

Step by step explanation

Answer 2

Step-by-step explanation:

In △BDC, Q is the mid-point of BD

QR∥DC [ As ABCD is rectangle and PQRB is rectangle ]

∴ By converse of mid-point theorem.

⇒ R is the mid-point of BC

Again, in △BDC, Q and R are the mid-points of BD and BC.

⇒ QR=

2

1

DC

⇒ 5=

2

1

DC

⇒ DC=10cm

⇒ DC=AB [ Opposite sides of rectangle are equal ]

∴ DC=AB=10cm

∴ Length of AB is 10cm.