Hello, winsome!
Triangle ABC is circumscribed about cirlce O.
P and Q are points of tangency such that BP = 3 and CQ = 5.
What is the measure of BC? Code:
A
o
/ \
/ \
/ \
/ \
/ \
/ * * * \
/* *\
* *
P o o Q
/ \
/* *\
/ * * * \
3 / * O * \ 5
/ \
/ * * \
/ * * \
/ * * \
B o - - - - - - - * o * - - - - - - - o C
3 R 5
Side is tangent to the circle at
Side is tangent to the circle at
Side is tangent to the circle at
We are given: .
The tangents drawn from an external point to a circle are equal.
. . Hence: .
Therefore: .