SEARCH HOME
 Math Central Quandaries & Queries
 Question from Chinmoy: How to measure the area of a triangle with two angles and length of the included side known?

Hi Chinmoy,

The sum of the interior angles of a triangle is $180^o$ and since you know the measures of two of the angles you can calculate the measure of the third.

When I see a question like this about the angles and side lengths of a triangle I think of the Law of Sines and the Law of Cosines. Which one of these will allow you to determine the lengths of the other two sides? Why do I want the lengths of the three sides? Because I can use them and Heron's Formula to calculate the area of the triangle.

Harley

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.