Question

in rectangle ABCD if ab = 5 cm and BC = 12 CM then find diagonal BD​

Answer 1

Answer:

13 cm

Step-by-step explanation:

Answer 2

Given,

• AB = 5 cm
• BC = 12 cm

To find,

• We have to find the value of diagonal BD​.

Solution,

We can simply find the value of the diagonal BD​ by using the Pythagoras theorem.

As we know that all the angles of a rectangle are right angles, then using Pythagoras theorem to find the diagonal BD which is the hypotenuse of the triangle made by the diagonal BD with sides AB and BC.

    According to the Pythagoras theorem,

                  (H)² = (B)² + (P)²

                   (BD)² = (AB)² +(BC)²

                   (BD)² = (5)² +(12)²

                    (BD)² = 25 +144

                    (BD)² = 169

                     BD =$\sqrt{169}$

                      BD = 13 cm

Hence, in rectangle ABCD if ab = 5 cm and BC = 12 cm then BD = 13 cm.