Orthocenter...

Geometry Level 3

Let the vertices of a triangle be ( 0 , 0 ) , ( 3 , 0 ) (0,0),(3,0) and ( 0 , 4 ) (0,4) . Its orthocenter is:

None of these choices ( 0 , 0 ) (0,0) ( 3 / 2 , 2 ) (3/2,2) ( 1 , 4 / 3 ) (1,4/3)

Harshit Mittal by Harshit Mittal , 23, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Marta Reece
Jun 16, 2017

B = ( 0 , 0 ) , C = ( 3 , 0 ) , A = ( 0 , 4 ) B=(0, 0), C=(3, 0), A=(0, 4)

Orthocenter is the intersection of all three altitudes. These are lines going from the vertices of the triangle at right angle to the opposite side.

For this right triangle, they are the sides A B AB and B C BC and the line B D BD perpendicular to the hypotenuse.

These lines intersect at the point B = ( 0 , 0 ) B=\boxed{(0, 0)}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...