The area of a triangle with sides 3cm , 5cm, 6cm is-

To find the area of a triangle with sides of length 3 cm, 5 cm, and 6 cm, you can use Heron's formula. Heron's formula states that the area (A) of a triangle with sides of length a, b, and c is given by:

A = √[s(s - a)(s - b)(s - c)]

Where s is the semiperimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the sides of the triangle are a = 3 cm, b = 5 cm, and c = 6 cm. Let's calculate the semiperimeter first:

s = (3 + 5 + 6) / 2 = 14 / 2 = 7 cm

Now, we can use Heron's formula to find the area:

A = √[7(7 - 3)(7 - 5)(7 - 6)]

A = √[7(4)(2)(1)]

A = √[7 * 4 * 2]

A = √[56]

Now, simplify the square root:

A = √[4 * 14]

A = 2√14

So, the area of the triangle with sides 3 cm, 5 cm, and 6 cm is 2√14 square centimeters.