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.
Whats the area of the triangle
12cm, 16cm and 20 cm
1 answer