If the inradius of a triangle with perimeter 64 cm is 8 cm, then find the area of the triangle.
Given:
- Perimeter of the triangle = 64 cm
- Inradius (r) = 8 cm
Formula Used:
Area of a triangle = Inradius × Semiperimeter
Semiperimeter = Perimeter / 2
Solution:
Semiperimeter = 64 / 2 = 32 cm
Area = Inradius × Semiperimeter = 8 × 32 = 256 cm²
Therefore, the area of the triangle is 256 cm².
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