Solve for triangle area
5m 7m 9m 11m
To calculate the area of a triangle with sides of 5m, 7m, and 9m, we can use Heron's formula.
First, calculate the semi-perimeter of the triangle, which is half of the sum of the three sides:
s = (5 + 7 + 9) / 2 = 21 / 2 = 10.5
Then, use Heron's formula to calculate the area of the triangle:
Area = √[s(s - 5)(s - 7)(s - 9)]
= √[10.5(10.5 - 5)(10.5 - 7)(10.5 - 9)]
= √[10.5 * 5.5 * 3.5 * 1.5]
= √(334.125)
≈ 18.29 square meters
Therefore, the area of the triangle is approximately 18.29 square meters.