Area of a Triangle

Problem 1:
Find the area of a triangle with a base of 10 and a height of 5.
Solution:
1.) Let’s plug the given dimensions into the formula.
A = ¹⁄₂bh
A = ¹⁄₂(10)(5) = 25
2.) The area is 25.

Problem 2:
A triangle’s area is measured to be 4.5 square meters and it has an equal base and height. What is the height in meters?
Solution:
1.) Let’s equate the base and height so that we can substitute height in for base.
b = h
bh = h²
2.) Now we can plug the given value into the formula and solve for the height h.
A = ¹⁄₂h²
4.5 = ¹⁄₂h²
9 = h²
h = 3
3.) The height is 3 meters.