21wich formula kumar n Ankit?
pl, giv da formula too yaaron
WATS DA SHORTEST WAY to find da circumcenter and INCENTRE of a triangle if the 3 vertices are known?
How bout ORTHO-Center??
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13 Answers
1find the lengths of sides and put the formula for incentre.....
11WAY 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
21hmmm..... 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
11TAPAN 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]
1well 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
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11iss mein maine #5 and #9 mein urdu likhi hai kya [17][17][17]
to yeh bhed bhav kaisa
11hey
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]