Discussion
The perimeter of a triangle is 68 cm and the inradius of the triangle is 3.5 cm. What is the area of the triangle?
Answer: B
The area of the triangle is 119 cm2. The area of a triangle equals its inradius multiplied by its semi-perimeter. The perimeter is 68 cm, so the semi-perimeter is 34 cm, and \[ \text{Area} = r\times s = 3.5\times 34 = 119 \] The options 152, 160 and 135 do not equal the product of the inradius and the semi-perimeter, so only 119 fits.
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