Answer:
a = 34.2 cm^2
Step-by-step explanation:
To solve for the area of a triangle when given 3 different sides, we can use Heron's formula.
Where:
s (semi-perimeter) = (a + b + c) / 2
a = sqrt [(s(s-a)(s-b)(s-c)]
In this case, a = 8, b = 10, c = 9
Solve for s.
s = (a + b + c)/2
s = (8 + 10 + 9)2
s = 27/2
Plug it in and solve for the area.
a = sqrt [(s(s-a)(s-b)(s-c)]
a = sqrt [(27/2(27/2-8)(27/2-10)(27/2-9)]
a = 34.197
round to one decimal place
a = 34.2
