find area of triangle

24cm, 30cm, 18 cm

1 answer

To find the area of a triangle with side lengths of 24cm, 30cm, and 18cm, you can use Heron's formula.

Heron's formula states that the area (A) of a triangle with side lengths a, b, and c can be calculated using the formula:

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths are a = 24cm, b = 30cm, and c = 18cm.

Calculating the semi-perimeter:

s = (24 + 30 + 18) / 2
s = 72 / 2
s = 36

Substituting the values into Heron's formula:

A = √(36(36-24)(36-30)(36-18))

A = √(36 * 12 * 6 * 18)

A = √(46656)

A ≈ 216 cm²

Therefore, the area of the triangle with side lengths 24cm, 30cm, and 18cm is approximately 216 cm².