Please answer this question

Asked by  | 31st May, 2009, 04:24: PM

Expert Answer:

Let the coordinates of third vertice be (x,y).

Length of side by distance formula is given by,AB2=52+12 =26

We have:

(x-3)2 +(y-4)2 = 26 ..(1)

(x+2)2 +(y-3)=26 ...(2)

From (1) and (2)

(x-3)2 +(y-4)2 = (x+2)2 +(y-3)2  

-5(2x-1)=2y-7

y=-5x+6

Put in (1) and solving for y:

(x-3)2 +(-5x+2)=26

26x2 -26x-13=0

x=1.366 x=-0.366

and y=-0.83 or y=7.83

Coordinates can be :(1.366,-0.83) or (-0.366,7.83)

Answered by  | 1st Jun, 2009, 01:03: AM

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