Question

On the sides $AB,BC,CA$ of a $\Delta ABC,3,4,5$ distinct points (excluding vertices $A,B,C$) are respectively chosen. The number of triangles that can be constructed using these chosen points as vertices are

• A. $220$
• B. $215$
• C. $210$
• D. $205$

Answer 1

The correct option is D $205$

On the sides AB,BC,CAAB,BC,CA of a ΔABC,3,4,5ΔABC,3,4,5 distinct points (excluding vertices A,B,CA,B,C) are respectively chosen. The number of triangles that can be constructed using these chosen points as vertices are

The correct option is D, that is 205