Questions: Find the area of the triangle. (Give your answer rounded to the nearest whole number.)

Solution Steps

We can use Heron's formula to find the area of a triangle given the lengths of its three sides. Heron's formula states: Area = sqrt(s(s-a)(s-b)(s-c)) where s is the semi-perimeter of the triangle, and a, b, and c are the lengths of the three sides.

In our case, a = 6, b = 10, and c = 14. s = (a + b + c) / 2 s = (6 + 10 + 14) / 2 s = 30 / 2 s = 15

Area = sqrt(15(15-6)(15-10)(15-14)) Area = sqrt(15 * 9 * 5 * 1) Area = sqrt(675) Area ≈ 25.98

Final Answer