# How do you use Heron's formula to find the area of a triangle with sides of lengths #3 #, #6 #, and #7 #?

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To use Heron's formula to find the area of a triangle with sides of lengths 3, 6, and 7, you first calculate the semi-perimeter (s) using the formula:

s = (a + b + c) / 2

where a, b, and c are the lengths of the sides of the triangle.

Next, you use Heron's formula to find the area (A) of the triangle:

A = √(s * (s - a) * (s - b) * (s - c))

Substitute the values of the sides (a = 3, b = 6, c = 7) into the formulas to find the semi-perimeter (s) and then calculate the area (A) using Heron's formula.

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