Analytical Geometry> straight-lines...

let triangleABC have vertices A(3,4),B(4,6) and C(-1,6).The distance b/w orthocentre of triangle and the origin is

chaman , 11 Years ago

Grade 12

2 Answers

Ajay Verma

Last Activity: 11 Years ago

ans:

triangle ABC is a right angle triangle.. so the ortho-center of the triangle will be the vertex where the right angle made..which is vertex A (3,4) ( you can figure it out by drawing this triangle geometrically or by checking slopes. )

so ortho center is A(3,4)

distance b/w A and O (origin) = ( 3^2 + 4^2 )^1/2( by distance formula )

^{= 5}

^{Thanks and Regards,
Ajay verma,
askIITians faculty,
IIT HYDERABAD}

Ajay Verma

Last Activity: 11 Years ago

ans:
triangle ABC is a right angle triangle.. so the ortho-center of the triangle will be the vertex where the right angle made..which is vertex A (3,4) ( you can figure it out by drawing this triangle geometrically or by checking slopes. )

so ortho center is A(3,4)
distance b/w A and O (origin) = ( 3^2 + 4^2 )1/2( by distance formula )
                        = 5

Thanks and Regards,
Ajay verma,
askIITians faculty,
IIT HYDERABAD