find area of triangle 15 cm, 8cm, 6cm
To find the area of a triangle, you can use Heron's formula.
First, calculate the semiperimeter (s) of the triangle by adding up the lengths of all three sides and dividing by 2:
s = (15 cm + 8 cm + 6 cm) / 2 = 29 cm / 2 = 14.5 cm
Then, calculate the area (A) using Heron's formula:
A = √(s(s-15 cm)(s-8 cm)(s-6 cm))
A = √(14.5 cm(14.5 cm - 15 cm)(14.5 cm - 8 cm)(14.5 cm - 6 cm))
A = √(14.5 cm * (-0.5 cm) * 6.5 cm * 8.5 cm)
A = √(3976.25 cm^2)
A ≈ 63.05 cm^2
Therefore, the area of the triangle with side lengths 15 cm, 8 cm, and 6 cm is approximately 63.05 square centimeters.