1956 AHSME Problems/Problem 14
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Problem 14
The points are on a circle
. The tangent line at
and the secant
intersect at
lying between
and
.
If
and
, then
equals:
Solution Sketch
Draw the diagram. (someone else link it please)
Because is a tangent line, angle
is a right angle. Drop a perpendicular from
to
at
We find that
Let and the radius of the circle be
We have a system of equations, and we can solve for
and
See Also
1956 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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