Carcass wrote:
In a triangle with sides of lengths 3, 4, and 5, the smallest angle is 36.87°. In the figure, O is the center of the circle of radius 5. A and B are two points on the circle, and the distance between the points is 6. What is the value of x ?
(A) 36.87
(B) 45
(C) 53.13
(D) 116.86
(E) 126.86
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#greprepclub In a triangle with sides of lengths.jpg [ 45.28 KiB | Viewed 2082 times ]
Plz refer to the diag. above
Fig 1 : is a
3:4:5 \( \triangle\)
and the angles are
36.87 : 53.13 : 90 (since the smallest \(\angle \)is
36.87 given)
Now, let us look into
fig 2since OA = OB = radius of the circle = 5, so the line
OC divides the side AB into two equal parts. As a result two 3:4:5 \(\triangle \)s are formed
Now, in
fig 3we have a 3:4:5\( \triangle
\)
and since the smallest \(\angle\) =
COB = 36.87,
therefore \(\angle x = 53.13\) degree