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What is the length of the longest side of a triangle that has vertices at (5, 2) (1,6) and (1,2)?
 one year ago
 one year ago
What is the length of the longest side of a triangle that has vertices at (5, 2) (1,6) and (1,2)?
 one year ago
 one year ago

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v4xN0sBest ResponseYou've already chosen the best response.0
Use the distance formula
 one year ago

v4xN0sBest ResponseYou've already chosen the best response.0
ok its \[d=\sqrt{(x _{1}x _{2})^2+(y _{1}y _{2})^2} \]
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
I would also suggest labeling your coordinates
 one year ago

v4xN0sBest ResponseYou've already chosen the best response.0
MathLegend ur not a math legend at all
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
A= (5, 2) B = (1,6) C = (1,2)
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
So when using the distance formula... you can solve for side AB first.
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
So using that formula, can you label the coordinates as (x1, y1) & (x2,y2)
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
A= (5, 2) B = (1,6) So lets solve for side AB first... so, "A" comes first right? So let that be your x1 & y1 Then, "B" can be your x2 & y2
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
Do you understand so far @ValentinaT ?
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
All I did was label them so that we can plug it into that distance formula.
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
@ValentinaT let me know when you get back so we can work this out together. :)
 one year ago

ValentinaTBest ResponseYou've already chosen the best response.1
Yeah, I'm getting it, thank you.
 one year ago

ValentinaTBest ResponseYou've already chosen the best response.1
\[\frac{ 6  2 }{ 5  1 } = \frac{ 8 }{ 6}\]
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
So for AB (1+5)^2+(62)^2
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
I'm sorry the formula is actually x2x1 and y2y1 the above poster just mixed up the two.
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
(1+5)^2+(62)^2 (6)^2+(8)^2 36+64
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
Now, we need the square root... because if you notice that entire formula had the square root symbol over it
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
So that is one side. So lets go for side BC
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
B = (1,6) x1 y1 C = (1,2) x2 y2
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
@ValentinaT do you feel comfortable trying it out on your own? Tell me what you get and I'll check to see if your answer for side BC is correct.
 one year ago

ValentinaTBest ResponseYou've already chosen the best response.1
\[\frac{ 2  6 }{ 1  1 } = \frac{ 8 }{ 0 }\]
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
Remember we are not trying to find a slope.
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
We are looking for the distance between the vertices.
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
To get that all I did was plug it into the formula. (x2x1)^2+(y2y1)^2
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
(11)^2 + (2+6)^2 Try solving that.
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
0 + 64 = 64 \[\sqrt{64}\]
 one year ago

ValentinaTBest ResponseYou've already chosen the best response.1
So, 8 as the square root.
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
Yes, so side BC = 8
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
(x2x1)^2+(y2y1)^2
 one year ago

ValentinaTBest ResponseYou've already chosen the best response.1
A = 5, 2 = x1, y1 C = 1, 2 = x2, y2 \[\frac{ 1  5^2}{ 2  2^2 } = \frac{ 6 }{ 1 } \] so 36?
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
(x2x1)^2+(y2y1)^2 (1+5)^2 + (22)^2 Do you understand this step?
 one year ago

ValentinaTBest ResponseYou've already chosen the best response.1
36 + 0 Yeah I get it, I just couldn't figure out how to write it.
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
Good so if you took the square root of 36 \[\sqrt{36}\]
 one year ago

MathLegendBest ResponseYou've already chosen the best response.5
So now, we know the length of the longest side is AB
 one year ago
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