home Interactive Shape Think!
a1 a2 a3 a4
b1 b2 b3 b4
b1 b2 b3 b4
ks1 ks3 & ks4 Foundation
ks2 ks4 Higher
ks4 Higher The diagram shows the inscribed circle of a right-angled triangle. The sides of the triangle are a, b and c. The radius of the circle is r.

      c = a + b - 2r

Can you prove it?
Please enable Java for an interactive construction (with Cinderella).

This diagram illustrates the proof. Can you see it?
Please enable Java for an interactive construction (with Cinderella).