🔺 Similarity & Pythagoras

The square on the longest side equals the two smaller squares added together. See it live!

side a 3

side b 4

a² + b² = c²

9 + 16 = 25

so c = 5

🔎 Similarity: shapes with equal angles & proportional sides are similar — same shape, different size.

🧠 The Big Idea

Pythagoras theorem: in a right-angled triangle, a² + b² = c² (c is the hypotenuse, the longest side).
Similar triangles have the same angles and sides in the same ratio — enlargements of each other.
These ideas let us measure the unreachable: heights of towers, widths of rivers, distances in maps. 🗺️