Question
Download Solution PDFThe in‐radius of a triangle is 8 cm and the sum of the lengths of its sides is 60 cm. The area of the triangle (in cm2) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In-radius of a triangle = 8 cm
Sum of the lengths of its sides = 60 cm
Concept:
The area of a triangle when the in-radius and semi-perimeter are given is the product of the in-radius and the semi-perimeter.
Solution:
Semi-perimeter of the triangle = 60 cm/2 = 30 cm
Area of the triangle = in-radius × semi-perimeter
⇒ Area of the triangle = 8 cm × 30 cm
⇒ Area of the triangle = 240 cm²
Therefore, the area of the triangle is 240 cm2.
Last updated on Jun 12, 2025
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