Question

Please answer this Question for me:-

Find the length of the diagonal of a rectangle whose sides are 16cm and 12cm.

Answer 1

In a rectangle all of its angles are right angle triangle, since a diagonal divides the rectangle in two equal halves and it contains a right angle, the traingle formed is a right angle triangle.

We also know that in aright angle triangle (Base)² + (Perpendicular)² = (Hypotenues)² =B² + P² = H²

So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle.

B²+ P²= H²

(16)² + (12)² = H²

H² = 256 + 144

H2 = 400

H =√400

H = 20 cm.

So the diagonal of the rectangle = 20 cm.

Ans: 20 cm.