Difference between revisions of "1956 AHSME Problems/Problem 10"
(Created page with "==Problem== A circle of radius <math>10</math> inches has its center at the vertex <math>C</math> of an equilateral triangle <math>ABC</math> and passes through the other two...") |
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passes through the other two vertices. The side <math>AC</math> extended through <math>C</math> intersects the circle | passes through the other two vertices. The side <math>AC</math> extended through <math>C</math> intersects the circle | ||
at <math>D</math>. The number of degrees of angle <math>ADB</math> is: | at <math>D</math>. The number of degrees of angle <math>ADB</math> is: | ||
− | (A) 15 (B) 30 (C) 60 (D) 90 (E) 120 | + | <math>(A) 15 (B) 30 (C) 60 (D) 90 (E) 120</math> |
<asy> | <asy> | ||
import olympiad; | import olympiad; |
Revision as of 19:01, 5 May 2019
Problem
A circle of radius inches has its center at the vertex
of an equilateral triangle
and
passes through the other two vertices. The side
extended through
intersects the circle
at
. The number of degrees of angle
is:
is an equilateral triangle, so ∠
must be
°. Since
is on the circle and ∠
contains arc
, we know that ∠
is
°
.