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National and Regional Contests
Vietnam Contests
Hanoi Open Mathematics Competition
2019 Hanoi Open Mathematics Competitions
5
5
Part of
2019 Hanoi Open Mathematics Competitions
Problems
(1)
computational with bisector, area wanted (HOMC 2019 JI-5)
Source:
11/7/2020
Let
A
B
C
ABC
A
BC
be a triangle and
A
D
AD
A
D
be the bisector of the triangle (
D
∈
(
B
C
)
D \in (BC)
D
∈
(
BC
)
) Assume that
A
B
=
14
AB =14
A
B
=
14
cm,
A
C
=
35
AC = 35
A
C
=
35
cm and
A
D
=
12
AD = 12
A
D
=
12
cm; which of the following is the area of triangle
A
B
C
ABC
A
BC
in cm
2
^2
2
?A.
1176
5
\frac{1176}{5}
5
1176
B.
1167
5
\frac{1167}{5}
5
1167
C.
234
234
234
D.
1176
7
\frac{1176}{7}
7
1176
E.
236
236
236
geometry
area
angle bisector