Question

Find the area of the triangle using the following information. Round to the nearest hundredth, if necessary. A = 120 b = 12, c = 14

Answer 1

To find the area of a triangle, we can use Heron's formula. In this case, the area of the triangle is approximately 380.76.

Step-by-step explanation:

To find the area of a triangle, we can use Heron's formula. Heron's formula states that the area of a triangle with side lengths a, b, and c can be found using the formula:

A = sqrt(s(s-a)(s-b)(s-c))

Where s is the semiperimeter of the triangle, which can be calculated as:

s = (a + b + c) / 2

In this case, the given side lengths are a = 120, b = 12, and c = 14. Plugging these values into the formulas, we get:

s = (120 + 12 + 14) / 2 = 73

A = sqrt(73(73-120)(73-12)(73-14))

A = sqrt(73(-47)(61)(59))

A ≈ 380.76

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