Question

abc has vertices a( 0,0) b( 3,3) c(6,0) find the orthocenter of abc..
a (3,1.5)
b (0,0
c ( 1.5 , 1.5 )
d (3,3)

Answer 1

A? on the basis of diagram that's all. Just a try

Answer 2

See orthocentre, is the intersection of perpendicular bisectors I suppose?

Answer 3

that's what im confused on..

Answer 4

So in this one, its a pretty easy figure. And since it has got something to do with centres, it gets easy with coordinates given

Answer 5

It's all about the definition of orthocenter :)

Answer 6

this should help :) http://mathforum.org/library/drmath/view/57665.html

Answer 7

@FibonacciChick666 could you please tell me if the approach ive thought of is genuine or not? :-(

Answer 8

Yeah :-)
Okay so the solution :-D Mind it just by the figure yeah? :P (just tried)

Answer 9

yes it is thank you (:

Answer 10

Dont you want the solution?

Answer 11

this is the triangle

Answer 12

@FibonacciChick666
Orthocentre, has something to do with the centre of the triangle. Now here, it is the intersection of perpendicular bisectors of the sides. check the side on the x axis. Its mid point is (3,0) orthocentre will obviously pass through this?

Answer 13

So 3 is a definite point. Now the other point definitely wont be outside the triangle or dont ever say the vertice of a traingle! :P it has to be somewhere around the middle, or inside the triangle :-)

Answer 14

and so the option that remains is A :-)

Answer 15

@Abhilash11 take a step back, The orthocenter is the intersection of the triangle's altitudes.

Answer 16

Yes yes. Perpendicular bisector = altitide :-)

Answer 17

thank you guys sm for your help (: I think its a as well o;

Answer 18

@Abhilash11 definition Altitude: The distance between a vertex of a triangle and the opposite side. Formally, the shortest line segment between a vertex of a triangle and the (possibly extended) opposite side. Altitude also refers to the length of this segment. Note: The three altitudes of a triangle are concurrent, intersecting at the orthocenter.

Answer 19

Yes :-)
See, right here, the shortest distance will be the perpendicular right?

Answer 20

no

Answer 21

the tringle is obtuse

Answer 22

and the shortest distance will be when it intersects its mid point, otherwise there will be a slant, and hence if u imagine you kind of get a hypotenuse. which is greater than a perpendicular :-)

Answer 23

no.....

Answer 24

Umm mm.. ?

Answer 25

this is their triangle http://assets.openstudy.com/updates/attachments/548bf243e4b05733b80cec3d-hollaforadolla1222-1418458127159-untitled.png

Answer 26

3,3 cant be there! O.o

Answer 27

what is the shortest distance from angle A to BC?

Answer 28

draw it

Answer 29

that isn't to BC

Answer 30

that is to an extension of BC

Answer 31

the shortest is simply AB

Answer 32

Actually :O

Answer 33

yeap

Answer 34

Here should be perpendicular? O.o

Answer 35

there yes.

Answer 36

Okay :-) Thankyou for the void of misconception :-)

Answer 37

that also happens to be an isoceles triangle

Answer 38

Yes :-)

Answer 39

wait so was the answer even a guys?

Answer 40

nope we need your input

Answer 41

we've argued about this long enough. :) So now, we need to know, one, in your own words, what is an altitude? 2, how do you find the orthocenter? and three, is it the vertices or the picture for this triangle?

Answer 42

Hmm :-)