find the area of the triangle

30 m
40 m
50 m

find the area of the triangle
a.120 m ^2
B.600m^2
C.1000m^2
D.750 m^2
E.35m^2

1 answer

To find the area of a triangle, we can use Heron's formula.

Given the sides of the triangle are 30m, 40m, and 50m.

Let's calculate the semi-perimeter (s) first:
s = (a + b + c) / 2
s = (30 + 40 + 50) / 2
s = 120 / 2
s = 60

Now, we can use Heron's formula to calculate the area (A) of the triangle:
A = sqrt(s * (s - a) * (s - b) * (s - c))
A = sqrt(60 * (60 - 30) * (60 - 40) * (60 - 50))
A = sqrt(60 * 30 * 20 * 10)
A = sqrt(360000)
A = 600

So, the area of the triangle with sides 30m, 40m, and 50m is 600 m^2.

Therefore, the correct answer is B. 600m^2.