The in-radius of a triangle is 8 cm, and the sum of the lengths of its sides is 125 cm. The area of the triangle (in cm2) is
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Correct answer: C
Explanation
The correct answer is option 3 i.e. 500.
Area of triangle = r × s
where r is in-radius and s is the semi-perimeter of the triangle.
According to the given question,
s = ½ × sum of length of sides
⇒ s = cm
Now, area of triangle = 8 ×
⇒ 4 × 125 = 500
Hence the area of the triangle (in cm2) is 500.