Geometry
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Area of a Triangle
Triangle Area Formula
The formula for area of a triangle is given as:
A = 1⁄2bh
Where A is the area, b is the base, and h is the height.
Example Problems
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.