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DEAR sir, IN A QUESTION I AM GIVEN EQUATIONS OF ALL THREE LINES OF A TRIANGLE AND i AM ASKED TO PROVE THAT ORIGIN LIES SOMEWHERE INSIDE THE TRIANGLE !!! HOW TO GO ABOUT IT ! HELP ME ! :)

DEAR sir,
IN A QUESTION I AM GIVEN EQUATIONS OF ALL THREE LINES OF A TRIANGLE AND i AM ASKED TO PROVE THAT ORIGIN LIES SOMEWHERE INSIDE THE TRIANGLE !!! HOW TO GO ABOUT IT !
HELP ME ! :)

Grade:

1 Answers

AKASH GOYAL AskiitiansExpert-IITD
419 Points
10 years ago

Dear Student

First method- graphically- find the vertices by solving the three equations and then draw the three lines. you will get your answer

Second method- calculate the three vertices now take one side and opposite vertex and origin and find whether these two points are on the same side or opposite side of that  side do this for other two sides and other two vertices. if vertices and origin come on same side for all the three cases then origin is inside.

 

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IITD

 

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