CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

The Mid-Point Theorem

If the sides ...

Question

If the sides $A B, B C$ and $C A$ of a triangle $A B C$ have $3, 5$ and $6$ interior points respectively, then the total number of triangles that can be constructed using these points as vertices is equal to:

A

360

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

240

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

333

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

364

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $333$
Total number of triangles $=^{(3 + 5 + 6)} C_{3} -^{3} C_{3} -^{5} C_{3} -^{6} C_{3}$
$= 364 - 1 - 10 - 20 = 333$

Suggest Corrections

thumbs-up

0

Similar questions

A B, B C

C A

△ A B C

are marked with

3, 4

5

interior points respectively. Number of triangles that can be constructed using these interior points as vertices is

Q. The sides AB, BC, CA of a triangle ABC have

3, 4

5

interior points respectively on them. The number of triangles that can be constructed using these points as vertices is-

A B, B C

C A

A B C

3, 4

5

interior points respectively on them.The number of triangles that can be constructed using these interior points as vertices is

Q. The sides AB, BC, and CA of a triangle ABC have 3, 4, and 5 interior points, respectively, on them. The number of triangles that can be constructed using these interior points as vertices is ___.

A B, B C, C A

A B C

3, 4

5

interior points on them. Find the number of triangles that can be constructed using these points as vertices.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

The Mid-Point Theorem

MATHEMATICS

Watch in App

explore_more_icon

Explore more

The Mid-Point Theorem

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon