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. The area is √(s(s-a)(s-b)(s-c)) = √(20(20-13)(20-15)(20-13)) = √(20*7*5*7) = √4900 = 70. The correct area is 79.64.

Find the Area of the Triangle