The difference between the semi perimeter and the sides of a triangle ABC are 8cm, 7cm, and 5 cm respectively. Find the area of the triangle?

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answer is A.

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Detailed Solution

Concept- This question first assumes a half circle. All three sides are then calculated as the difference between them and the semicircle. It also applies the half-circumference formula to calculate the half-circumference value. Continue applying Heron's formula to calculate the area of a triangle
Suppose half the perimeter of a given triangle ABC is "s". As shown in the figure, its three side lengths are 'a', 'b' and 'c'.
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This is because the difference between the half circumference and one side is 8 cm, 7 cm, and 5 cm.
So the triangle has ABC
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So, the three sides are as follow
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When we change the values in the formula above, we obtain:
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Hence, the correct answer is option (1) .

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