Question

Find the length of diagonal of the rectangle whose sidesvare 16cm and 12xm

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.

Answer 2

We know that, by Pythagoras theorem,
Diagonal² = Length² + Breadth²
Diagonal² = 16² + 12² = 256 + 144 = 400
∴ Diagonal = √400 = 20 m