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In APQR, T, U and S are points of tangency. PR = 12 units. Find TR.

In APQR, T, U and S are points of tangency. PR = 12 units. Find TR.-example-1
User Passion
by
5.7k points

1 Answer

7 votes

Answer:

TR = 3 units

Explanation:

PR = 12 units

PS = 9 units

PU = PS = 9 units (tangents drawn from an external point are congruent)

RU = PR - PU

RU = 12 - 9

RU = 3 units

TR = RU = 3 units (tangents drawn form an external point of a circle)

TR = 3 units

User Martin Pecka
by
5.2k points