What is the area (in cm²) of a right-angled triangle having a hypotenuse of 89 cm and one side measuring 39 cm?

Correct option is D

Given:

Hypotenuse (h) = 89 cm

One side (a) = 39 cm

Formula Used:

The area of the right-angled triangle is:

Area =$$\frac{1}{2} \times a \times b$$​

Solution:

Using the Pythagorean theorem:

​$$h^2 = a^2 + b^2$$​

​$$89^2 = 39^2 + b^2$$​

7921 = 1521 $$+ b^2$$​​

​$$b^2$$​ = 7921 - 1521 = 6400

b $$= \sqrt{6400} = 80 \, \text{cm}$$​

Area$$= \frac{1}{2} \times a \times b = \frac{1}{2} \times 39 \times 80 = \frac{1}{2} \times 3120 = 1560 \, \text{cm}^2$$​