Whats the area of the triangle
12cm, 16cm and 20 cm
To find the area of a triangle, you can use Heron's formula. Heron's formula states that the area of the triangle is equal to the square root of (s(s-a)(s-b)(s-c)), where s is the semi-perimeter of the triangle, and a, b, and c are the lengths of its sides.
First, let's find the semi-perimeter:
s = (a + b + c) / 2
s = (12 + 16 + 20) / 2
s = 48 / 2
s = 24
Now, we can calculate the area using Heron's formula:
Area = sqrt(s(s-a)(s-b)(s-c))
Area = sqrt(24(24-12)(24-16)(24-20))
Area = sqrt(24(12)(8)(4))
Area = sqrt(9216)
Area ≈ 96 cm^2
Therefore, the area of the triangle with side lengths 12 cm, 16 cm, and 20 cm is approximately 96 square cm.