What is the area of a triangle with side lengths 30, 40,
and 50 ?
F.
1200
G.
800
H.
700
J.
600
K.
It cannot be determined based on the information
provided.
The area of a triangle can be calculated using Heron's formula, which states that the area (A) of a triangle with side lengths a, b, and c is given by:
A = sqrt(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, given by s = (a + b + c)/2.
In this case, the side lengths are 30, 40, and 50. Plugging these values into the formula, we get:
s = (30 + 40 + 50)/2 = 60
A = sqrt(60(60-30)(60-40)(60-50))
= sqrt(60(30)(20)(10))
= sqrt(360000)
= 600
Therefore, the area of the triangle is 600. The answer is J.