Math, asked by vprazak86, 3 months ago

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 ppkulkarni742
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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