# Tag: area of triangle

## Four equal triangles problem

Challenge yourself with this triangle problem. Squares were constructed on each side of triangle ABC. The free points of the squares were connected forming three more triangles. It is claimed that all the four triangles have equal area. Do they? Show that they do or don’t. Hints: Make a simpler problem. Use an isosceles triangle

## Angle inscribed in a semicircle

To solve the two problems below you need to know 1) The area of a circle is Πr2, with r as radius and that the area of a semicircle is of course  half of the circle, ½Πr2 and 2) the angle  in a semicircle theorem. Problem 1 Prove that the area of the solid green semicircle

## Area of an Equilateral Triangle

Somebody left this in my message box: Problem If a triangle is an equilateral triangle with 3m and you are not given the perpendicular length of a triangle, how do you calculate the area of a triangle? Obviously the sender know that the perpendicular length aka height or altitude of the triangle is needed to