Question

In the figure given below, radius r of the circle which touches the sides of the triangle is:

Options

• 3 cm

• 6 cm

• 7 cm

• 4 cm

Answer 1

3 cm

Explanation:

Right triangle ABC with:

AB = 25 cm  ...(hypotenuse)

AC = 24 cm

BC = 7 cm

A circle is inscribed inside the triangle (touches all three sides).

For a right triangle:

r = `(a + b - c)/2`

where
a, b = legs of the triangle

c = hypotenuse

Substitute values:

r = `(7 + 24 - 25)/2`

= `6/2`

= 3 cm