The perimeter of the triangle is 44cm. if it's sides are in the ratio 9:7:6. find its area

The area is 83.905 cm^3

Step-by-step explanation:

The total ratio is 9 + 7 + 6 = 22

So the length of the sides are as follows;

9/22 * 44 = 18 cm

7/22 * 44 = 14 cm

6/22 * 44 = 12cm

we can use Heron's formula to find the area of the triangle

we find a first

s = (a + b + c) / 2 = (18+14+12) / 2 = 44/2 = 22

Mathematically, the Heron's formula is as follows;

A = √s (s-a) (s-b) (s-c)

where a, b and c are 18,14 and 12 respectively

Plugging the values, we have;

A = √22 (22-18) (22-14) (22-12)

A = √ (22 * 4 * 8 * 10)

A = √ (7,040)

A = 83.905 cm^3