Question 162
In triangle $ABC$, right-angled at $A$, we have $AB = 8~\mathrm{cm}$ and $AC = 6~\mathrm{cm}$.
a. The point $P$, inside the triangle, is at distance $1~\mathrm{cm}$ from side $AB$ and $2~\mathrm{cm}$ from side $AC$. What is the distance from $P$ to side $BC$?
b. Compute the radius of the circle that is tangent to side $AC$ and to the extensions of sides $AB$ and $BC$.
a. The point $P$, inside the triangle, is at distance $1~\mathrm{cm}$ from side $AB$ and $2~\mathrm{cm}$ from side $AC$. What is the distance from $P$ to side $BC$?
b. Compute the radius of the circle that is tangent to side $AC$ and to the extensions of sides $AB$ and $BC$.