The area of a triangle with sides a, b, c can be found using Heron’s formula.

The area of a triangle with sides a, b, c can be found using Heron’s formula. Find the area of a triangle with sides 11,25,30.

1. Let’s write down Heron’s formula for finding the area of a triangle:

S = √ (p * (p – a) * (p – b) * (p – c)), where p is the floor of the triangle perimeter, a, b, c are its sides. Find the floor of the perimeter:

p = (a + b + c) / 2 = (11 + 25 + 30) / 2 = 66/2 = 33.

2. Find the area of the triangle:

S = √ (33 * (33 – 11) * (33 – 25) * (33 – 30)) = √ (33 * 22 * 8 * 3) = √17424 = 132 (unit2).

Answer: the area of the triangle is 132 units 2.