Multiple choice

In a triangle ABC, AB=36 cm, AC=48 cm and the altitude to side BC measure 24 cm. Which of the following gives the area of the circle circumscribing the triangle ABC (In sq. cm)?

  1. 1296π

  2. 1176π

  3. 900π

  4. 576π
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A Correct answer
Explanation

Area of triangle = (1/2) * base * height. We have sides 36, 48 and altitude 24. Area = (1/2) * BC * 24 = 12 * BC. Also Area = (abc) / (4R). This requires finding BC. Using the altitude, we can find the segments of BC. The circumradius R = (abc) / (4 * Area).

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