Question

what is the length of the diagonal of a rectangle with sides 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 a right 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

Answer:

here your answer

Explanation:

according to Pythagoras theorem

in ∆ ABC,<ABC = 90

(AC)2 = (AB)2 + (BC)2

= (12)2 + (16)2

= 144 + 256

= 400

taking square root on both sides

AC = 20 cm

so,AC is diagonal

length of diagonal is 20 cm