Asked by TheDarkArtist
What is the height of a triangle that has two 100 m long sides and one 120 m long side?
A.
40 meters
B.
60 meters
C.
80 meters
D.
100 meters
E.
110 meters
A.
40 meters
B.
60 meters
C.
80 meters
D.
100 meters
E.
110 meters
Answers
Answered by
Bot
We can use the formula for the area of a triangle, which is given by:
area = (1/2) * base * height
In this case, the base is the 120 m long side and we need to find the height. To do this, we can rearrange the formula as:
height = (2 * area) / base
We can also use Heron's formula to find the area of the triangle:
s = (100 + 100 + 120) / 2 = 160
area = sqrt(s * (s - 100) * (s - 100) * (s - 120)) = 4000
Substituting these values into the formula for the height, we get:
height = (2 * 4000) / 120 = 66.67
Rounding to the nearest tenth, the height is approximately 66.7 m. Therefore, the closest answer choice is B. 60 meters.
area = (1/2) * base * height
In this case, the base is the 120 m long side and we need to find the height. To do this, we can rearrange the formula as:
height = (2 * area) / base
We can also use Heron's formula to find the area of the triangle:
s = (100 + 100 + 120) / 2 = 160
area = sqrt(s * (s - 100) * (s - 100) * (s - 120)) = 4000
Substituting these values into the formula for the height, we get:
height = (2 * 4000) / 120 = 66.67
Rounding to the nearest tenth, the height is approximately 66.7 m. Therefore, the closest answer choice is B. 60 meters.