Question
Download Solution PDFThe 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
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The in-radius of a triangle is 8 cm, and the sum of the lengths of its sides is 125 cm.
Formula used:
Area (A) = in-radius (r) × semi-perimeter (s)
Where, semi-perimeter (s) = (sum of the lengths of the sides) / 2
Calculations:
s = 125 / 2
⇒ s = 62.5 cm
A = r × s
A = 8 × 62.5
⇒ A = 500 cm2
∴ The correct answer is option (3).
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