FIND THE LENGTH OF A DIAGONAL OF A RECTANGLE,WHOSE SIDES ARE 16CM AND 12 CM

Solution:

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 }=^{}B^{2} + P^{2} = H^{2}

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.

B^{2}+ P^{2}= H^{2}

(16)^{2} + (12)^{2} = H^{2}

H^{2} = 256 + 144

H2 = 400

H =√400

H = 20 cm.

So the diagonal of the rectangle = 20 cm.

**Ans: 20 cm.**

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