Uploaded August 2026 | Updated September 2026, 2 weeks ago

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A square, a midpoint, a right angle… and just one area given.

In Visual Maths Lab 022, we solve a beautiful geometry problem:

ABCD is a square.
F is the midpoint of AB.
EF ⟂ FC.
Area of triangle CEF = 20 sq. units.

Can you find the area of square ABCD?

The key is not lengthy calculation. The real breakthrough comes from spotting two similar triangles, extracting exactly the ratio we need, and then connecting everything using Pythagoras.

Concepts used:
✓ Similar Triangles
✓ AA Similarity
✓ Area of a Right Triangle
✓ Pythagoras Theorem
✓ Smart Geometry Ratios

Watch till the end for another question based on the same concept — this time for you to solve.

Pause. Think. Solve.

Think CAT • Think AzuCATion

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