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# if a vortex of a triangle E(1,1) & the middle point of the sides through it (-2,3)&(5,2) find the other vorties  Rathod Shankar AskiitiansExpert-IITB
69 Points
10 years ago

the ratio middle points divides two vertex is 1:1

using formula      (x1*1 +x2*1)/(1+1) = -2       here   E(1,1)=(x1,y1)  and say A(x2,y2) B(x3,y3)

substitute x1 here   we get   x2=-4-x1 = -4-1 =-5

y2= 3-y1 = 3-1 =2

(x2,y2)=(-5,2)

x3= 5-x1= 5-1 =4

y3=2-1= 1

(x3,y3)=(4,1)

All the best.

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Rathod Shankar Singh

IIT Bombay Anil Pannikar AskiitiansExpert-IITB
85 Points
10 years ago

Dear Satya,

given middle point so it divides the line into 1:1

so,  -2 = (1 + x1)/2 or x1 = -5

and,  3 = (1 + y1)/2  or y1 = 5

so one of the vertex is (-5,5)

similarly find the other one.

All the best.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Anil Pannikar

IIT Bombay