Problems

Basic Level

Angles in the right triangle

[ABC] is a triangle rectangle in B. D is the midpoint of [BC] and E belongs to [AC] in order to verify the relationship between the angles shown in the figure. Prove that [BE] is p...

Problems

Intermediate Level

Hidden Pythagorean

In the figure we have 4 squares, E and F belong to the diagonal of the square ABCD and the measure of the angle EAF is 45º. If S, S1 and S2 are the areas of the squares with diago...

Problems

Intermediate Level

Three squares

Prove that D, J and F are collinear and that J is the midpoint of [DF].

Problems

Intermediate Level

Volume of the frustum

What is the volume of a frustum?

Problems

Intermediate Level

Volume of a cylinder inscribed in a cone

What is the volume of a cylinder inscribed in a cone?