Wednesday, January 23, 2019

Notes for homework #1, due Jan. 29

Notes on the triangle inequality

Classifying triangles defined by side lengths
Let the three sides be called a, b and c, where c is the longest side.

There are three possible relationships between the sum of the squares of a and b and the value c². 

a² + b² > c²   This means the triangle is acute.
a² + b² = c²   This means the triangle is right. This is the Pythagorean Theorem,
a² + b² < c²   This means the triangle is obtuse

Here are some practice problems
     

Given one angle measurement, create an isosceles triangle. If the angle is acute, there are two possible isosceles triangle.

Notes on Heron's Formula and practice problems