Choose the one alternative that best completes the statement or answers the question.
Find the area of the triangle. If necessary, round the answer to two decimal places.
-$$a = 13 , b = 15 , c = 13$$
A) $85.64$
B) $82.64$
C) $79.64$
D) $88.64$

Question

Quizplus · Accepted Answer

The triangle is isosceles with sides a = 13, b = 15, and c = 13. Using Heron's formula, the semi-perimeter s = (13 + 15 + 13) / 2 = 20.5. The area is √[s(s-a)(s-b)(s-c)] = √[20.5(20.5-13)(20.5-15)(20.5-13)] = √[20.5 * 7.5 * 5.5 * 7.5] ≈ 79.64.

Choose the One Alternative That Best Completes the Statement or Answers