Answer:
The area calculates to 83.905 cm^3
Step-by-step explanation:
The overall ratio is 9 + 7 + 6 = 22
Thus, the side lengths are computed as follows;
9/22 * 44 = 18 cm
7/22 * 44 = 14 cm
6/22 * 44 = 12 cm
Heron’s formula allows us to determine the area of the triangle
First, we calculate s
s = (a + b + c)/2 = (18+14+12)/2 = 44/2 = 22
Heron’s formula can be expressed as;
A = √s(s-a)(s-b)(s-c)
where a, b, and c are 18, 14, and 12 respectively
Plugging in the values, we obtain;
A = √22(22-18)(22-14)(22-12)
A = √(22 * 4 * 8 * 10)
A = √(7,040)
A = 83.905 cm^3
