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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`
7 years ago

69 Points
```										Dear Satya Padhy,

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.
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.

Rathod Shankar Singh
IIT Bombay

```
7 years ago
85 Points
```										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

```
7 years ago
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