Question

Equal Parts of a Triangle

The white triangle is divided into three equal parts. Fill each one-third part with a different colour. Can you show that these parts are equal? Think how.

Answer 1

Since one triangle is divided into three equal parts, therefore, each part is one-third `(1/3)` of the whole triangle. Let us `1/3`  in each part and colour them in a different colour as shown in the above figure.

In order to show that these parts are equal. Let us name them, T₁ T₂ and T₃. Trace any of them, say T₁. Now place traced part over T₂ and T₃. We find that T₁ covers T₁, T₂ and T₃ are of the same shape and size. Hence, these triangles are equal.