Step {{ Math.min(step, 4) }} / 4

Tap to select

The altitude to the hypotenuse creates triangles similar to the original. Tap the three similar right triangles!

A B D C
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Drag to match

Prove AA Similarity by matching the angles of to the large .

A B C
A D C
All angles placed!

Slide to set

Since , their legs are proportional. Set up the correct proportion ().

x h
~
y h
x
=
y

Tap to build

Cross-multiply your proportion to find the final theorem! Tap blocks to build the equation.

🏆

Proof Complete!

You used similar triangles to prove the Geometric Mean Theorem: