Triangle Area Sum 2

Geometry Level 5

Find the sum of all possible areas of a triangle with \(2\) sides of length \(11\) and \(12\) and one angle of \(60^{\circ}.\)

If the sum of the areas of the \(3\) smallest possible triangles is \(a\sqrt{b}\) where \(a\) and \(b\) are integers and \(b\) is square free, enter your answer as \(a+b\).

This is part of the set Trevor's Ten.

Useful Brilliant Wikis - Triangles-Calculating Areas

Image Credit: Wikimedia Congruent Triangles by Ilmari Karonen

Problem Loading...

Note Loading...

Set Loading...