The hypotenuse of a right triangle, whose sides are integers, is 17 cm. lts area in sq.cm is 

Explanation:

We are given that the hypotenuse of a right triangle is 17 cm, and the sides are integers. 

Here the sides of the triangle are integers, so the triangle is a Pythagorean triplet.

The Pythagorean triplet involving 17 as the hypotenuse is (8, 15, 17).

Now, the area \( A \) of a right triangle is given by \(A = \frac{1}{2} \times \text{base} \times \text{height}\)

For the triplet (8, 15, 17); Base = 8 cm, Height = 15 cm

So the area is \(A = \frac{1}{2} \times 8 \times 15 = \frac{1}{2} \times 120 = 60 \, \text{sq. cm} \)

Thus, the correct answer is Option 2).