1979 AHSME Problems/Problem 3
Contents
Problem 3
In the adjoining figure, is a square, is an equilateral triangle and point is outside square . What is the measure of in degrees?
Solution
Solution by e_power_pi_times_i
Notice that and that . Then triangle is isosceles, so .
Solution 2 (Obnoxiously tedious)
WLOG, let the side length of the square and the equilateral triangle be . . Apply the law of cosines then the law of sines, we find that . Select .
Please don't try this solution. This is just obnoxiously tedious and impractical.
~hastapasta
Video Solution by OmegaLearn
https://youtu.be/FDgcLW4frg8?t=1341
~ pi_is_3.14
See also
1979 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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