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# Mastering Triangles

The Euler Line will blow your mind.

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Above, a line cuts across two adjacent rectangles.

How many right triangles can you find in this diagram?

In the diagram below, two chords that are diameters of a circle intersect at right angles. What is the area of the circle?

Pythagorean Theorem Proof #1

In both diagrams below, the right triangles have a short leg length of $$a$$ and a long leg length of $$b.$$ If the area of the figure on the right is $$4\left(\frac{1}{2}ab\right) + c^2,$$ which expression could represent the area of the figure on the left?

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