The area of a triangle is 6.75 m squared. If the base of the triangle is 3 m, what is the height of the triangle?
h=(2A)/B
=(2*6.75)/3
=4.5 m
To find the height of a triangle, we can use the formula:
Area = (1/2) * base * height
Given that the area of the triangle is 6.75 m² and the base is 3 m, we can plug these values into the formula and solve for height.
6.75 = (1/2) * 3 * height
To solve for height, first, multiply 3 by (1/2):
6.75 = (3/2) * height
Now, we want to isolate the height, so we will divide both sides of the equation by (3/2):
6.75 / (3/2) = height
Dividing by a fraction is equivalent to multiplying by its reciprocal, so we can rewrite the equation as:
6.75 * (2/3) = height
Now, calculate:
6.75 * 2 = 13.5
13.5 / 3 = height
Simplifying:
height = 4.5
Therefore, the height of the triangle is 4.5 meters.