The area of the triangle is 34.2 square centimeters
How to determine the triangle area?
The sides of the triangle are:
a = 8
b = 9
c = 10
Start by calculating the semi-perimeter using:
s = (a + b + c)/2
This gives
s = (8 + 9 +10)/2
Evaluate
s = 13.5
The area is then calculated using:
[tex]Area = \sqrt{s * (s -a) * (s -b ) * (s - c)}[/tex]
So, we have:
[tex]Area = \sqrt{13.5 * (13.5 -8) * (13.5 -9) * (13.5 - 10)}[/tex]
Evaluate
Area = 34.2
Hence, the area of the triangle is 34.2 square centimeters
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