The sides of the triangle ABC are equal to 9.5 and 6 cm. Find the area of the triangle ABC.

From the condition it is known that the sides of the triangle are 9, 5 and 6 cm. And we need to find the area of the triangle.

To find the area of a triangle, apply Heron’s formula. Let’s remember the formula:

S = √p (p – a) (p – b) (p – c), where p = (a + b + c) / 2 half perimeter.

We start by calculating the floor perimeter:

p = (9 + 5 + 6) / 2 = 20/2 = 10 cm.

Next, we substitute the values into the formula and calculate:

S = √ (10 * (10 – 9) * (10 – 5) * (10 – 6)) = √ (10 * 1 * 5 * 4) = √200 = 10√2 cm ^ 2 area of a triangle.

Answer: 10√2 cm ^ 2.