what is the area of a triangle if the sides are 9 and 7
To find the area of a triangle with sides of 9 and 7, we can use Heron's formula.
First, calculate the semi-perimeter (s) of the triangle:
s = (a + b + c) / 2
s = (9 + 7 + 9) / 2
s = 25 / 2
s = 12.5
Next, use Heron's formula to find the area:
Area = sqrt(s * (s - a) * (s - b) * (s - c))
Area = sqrt(12.5 * (12.5 - 9) * (12.5 - 7) * (12.5 - 9))
Area = sqrt(12.5 * 3.5 * 5.5 * 3.5)
Area = sqrt(908.125)
Area ≈ 30.15 square units
Therefore, the area of the triangle with sides of 9 and 7 is approximately 30.15 square units.