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.