Draw three triangles with lengths of two sides 4 and 5 centimetres and the angle between them 60°, 90°, 120°. Draw the circumcircle of each. (Note how the position of the circumcentre changes).

Question

Philoid · Accepted Answer

In this figure AC = 5 cm and AB = 4 cm.

∠CAB = 60°

J is the circumcentre, which is inside the triangle.

AC = 5cm and AB = 4 cm.

∠CAB = 90°

H is the circumcentre, which lies on the hypotenuse of the triangle.

AB = 5 cm and BC = 4 cm.

∠ABC = 120°

H is the circumcentre, which is outside the triangle.