SOLUTION: Give triangele RST with vertices R(-2,1) S(-1,3) and T(2,1) RS equals ? I think the square root of 5 but Im not sure if I approched it correectly.

Question 256137: Give triangele RST with vertices R(-2,1) S(-1,3) and T(2,1) RS equals ?
I think the square root of 5 but Im not sure if I approched it correectly.
Found 3 solutions by richwmiller, jim_thompson5910, checkley77:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Why do you have a question mark? There is no question.
I like all square roots. And round ones too!
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
We basically want to find the distance from R(-2,1) to S(-1,3)

Note: is the first point . So this means that and .
Also, is the second point . So this means that and .

Start with the distance formula.

Plug in , , , and .

Subtract from to get .

Subtract from to get .

Square to get .

Square to get .

Add to to get .

So our answer is which means that the length of RS is units.
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
R(-2,1) S(-1,3) and T(2,1)
d(rs)=sqrt[(x2-x1)^2+(y2-y1)^2]
d(rs)=sqrt[(-1+2)^2+(3-1)^2]
d(rs)=sqrt[1^2+2^2]
d(rs)=sqrt[1+4]
d(rs)=sqrt5
d(rs)=2.236 ans.
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