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.

      ab = r(a + b + c)

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

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