Review question

# Can we find the equation of the inscribed circle of the triangle $ABC$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5777

## Question

The triangle $ABC$ has vertices $A(7, 7), B (0, 6)$ and $C (6, 0)$. Write down the equation of the internal bisector of the angle $BAC$.

Find, by an algebraic method,

1. the equation of the circle through the points $A, B$ and $C$.
2. the equation of the inscribed circle of the triangle $ABC$, i.e. the circle which touches all three sides of this triangle and which has its centre within the triangle.