Question 7
26:29
Convex quadrilateral
ABCD is given. Lines AB
and CD intersect in point
T. If AT = 3 units,
TD = 6 units, TC = 10
units, and
a+y=B+ 8 = 180°
the length of the line
segment AB is:
Answers
Answered by
0
Answer:
Correct option is
D
342
Given that there are 3 points on AB,4 on BC,5 on CD,6 on DA.
We need to find triangles whose vertices lie on different sides. So, there are 4 possibilities i.e, vertices can be on
i).AB,BC,CD
1 from each (3,4,5)
⇒
3
C
1
×
4
C
1
×
5
C
1
=60
ii).BC,CD,DA
⇒
4
C
1
×
5
C
1
×
6
C
1
=120
iii).CD,DA,AB
⇒
5
C
1
×
6
C
1
×
3
C
1
=90
iv).DA,AB,BC
⇒
6
C
1
×
3
C
1
×
4
C
1
=72
⇒ Total =60+120+90+72
∴ Total number of triangles =342.
Hence, the answer is 342.
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