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प्रश्न
In the figure given below, radius r of the circle which touches the sides of the triangle is:
पर्याय
3 cm
6 cm
7 cm
4 cm
MCQ
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उत्तर
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
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