WATS DA SHORTEST WAY??

WATS DA SHORTEST WAY to find da circumcenter and INCENTRE of a triangle if the 3 vertices are known?

How bout ORTHO-Center??

13 Answers

1
Kumar Satyajeet ·

find the lengths of sides and put the formula for incentre.....

1
ANKIT MAHATO ·

use formula

21
tapanmast Vora ·

wich formula kumar n Ankit?

pl, giv da formula too yaaron

11
Mani Pal Singh ·

WAY TO FIND CIRCUMCENTER

TAKE A POINT (x,y) IT SHOULD BE EQUIDISTANT TO ALL THE THREE VERTICES
USE DISTANCE FORMULA

WAY TO FIND INCENTER

WRITE THE EQUATION OF THE THREE SIDES AND NAME IT AS a ,b , c
THEN THEN INCENTER WILL BE
ax1+bx2+cx3/a+b+c , ay1 +ay2 +ay3/a+b+c

where (x1,y1),(x2,y2),(x3,y3) are assumed to be the coordinates of the given point

1
Kumar Satyajeet ·

INCENTRE = ax1+bx2+cx3 , ay1+by1+cy3
a+b+c a+b+c

21
tapanmast Vora ·

hmmm..... ya mani bhi yahi socha tha........

4 Circumcetnre yaar this method is thodi lambi re....

So if v hav a smaller methd it cud b gr8.....

BTW pl. C the edited questn. I m posting more so this thread bcums a ready formula reference

21
tapanmast Vora ·

Incetnre lagta hai ye hi shortestst hai......

11
Mani Pal Singh ·

TAPAN WAISE ORTHOCENTER NIKAALNE KA FORMULA BHI HAI BUT IT IS IN tanθ AND INVOLVES THE ANGLES AND IS DIFFICULT TO REMEMBER

SO BASICALLY FOR IIT U NEED TO REMEMBER THAT ITS DEFINITION THAT

ORTHOCENTER IS POINT OF INTERSECTION OF PERPENDICULARS DRAWN FROM THE CORNERS OF THE TRIANGLE[1]

1
The Scorpion ·

well for circumcentre... easiest method would b to find eqn.s of any 2 perpendicular bisectors and find d point of intersection...!!! let me know if there's any other easier method for this, when vertices are given

for orthocentre... u can either use definition... or use d relation dat
Centroid(G) divides the line joining orthocentre(O) and circumcentre(S) in d ratio 2:1... i.e., OG:GS=2:1

[1]

11
Mani Pal Singh ·

iss mein maine #5 and #9 mein urdu likhi hai kya [17][17][17]

to yeh bhed bhav kaisa

39
Dr.House ·

hewhe, well talking about coordinate only? no pure geo methods?

62
Lokesh Verma ·

sorry mani.. :D

11
Mani Pal Singh ·

hey
Mr b555

hewhe, well talking about coordinate only? no pure geo methods?

i am poor at geometry may be u could help us with the GEOMETRY[1]

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