Isosceles Triangle Line Intersection (Jee Mains) | ExamDuo
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Triangle Geometry and Bisectors
Medium
Isosceles Triangle Line Intersection
Let
ABC
be an isosceles triangle in which
A
is at
(
−
1
,
0
)
,
∠
A
=
2
π
3
,
AB
=
AC
and
B
is on the positive
x
-axis. If
BC
=
4
√
3
and the line
BC
intersects the line
y
=
x
+
3
at
(
α
,
β
)
, then
β
4
α
2
is :
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