Area of Triangle: Real World Situations

Geometry Tutorial

Area of Triangle: Real World Situations

Intro

In this tutorial, we’re going to look at a real world solution for finding a missing base or height when given the area of a triangle and either a given base or height.

Sample Problem

Problem 1: Tony wants to make decorative napkins for a plate setting at a wedding. The area of the napkins must be 16 square inches in order for there to be room on the table for other dishes, glasses, etc. If the height of a napkin, when folded into a triangle, is 4 inches, what must the length of the base be in order for the area of the triangle to be 16 square inches?

Solution

This is what the triangle in this problem looks like:

drawing of the triangle in this problem

Recall that the formula for the area of a triangle is
A=(1/2)x(b)x(h)

1. The given measurements are 4 inches for the base and 16 inches for the area. All you have to do is plug the numbers into the formula.

solution for the problem

The base of the triangle-shaped napkin must be 8 inches long. That’s a rather large napkin, right?



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