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ValentinaT
Group Title
What is the length of the longest side of a triangle that has vertices at (5, 2) (1,6) and (1,2)?
 2 years ago
 2 years ago
ValentinaT Group Title
What is the length of the longest side of a triangle that has vertices at (5, 2) (1,6) and (1,2)?
 2 years ago
 2 years ago

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v4xN0s Group TitleBest ResponseYou've already chosen the best response.0
Use the distance formula
 2 years ago

ValentinaT Group TitleBest ResponseYou've already chosen the best response.1
Distance formula?
 2 years ago

v4xN0s Group TitleBest ResponseYou've already chosen the best response.0
ok its \[d=\sqrt{(x _{1}x _{2})^2+(y _{1}y _{2})^2} \]
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
I would also suggest labeling your coordinates
 2 years ago

v4xN0s Group TitleBest ResponseYou've already chosen the best response.0
MathLegend ur not a math legend at all
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
A= (5, 2) B = (1,6) C = (1,2)
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
So when using the distance formula... you can solve for side AB first.
 2 years ago

ValentinaT Group TitleBest ResponseYou've already chosen the best response.1
Thank you.
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
So using that formula, can you label the coordinates as (x1, y1) & (x2,y2)
 2 years ago

hba Group TitleBest ResponseYou've already chosen the best response.0
dw:1355599903259:dw
 2 years ago

MathLegend Group TitleBest 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
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
Do you understand so far @ValentinaT ?
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
All I did was label them so that we can plug it into that distance formula.
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
@ValentinaT let me know when you get back so we can work this out together. :)
 2 years ago

ValentinaT Group TitleBest ResponseYou've already chosen the best response.1
Yeah, I'm getting it, thank you.
 2 years ago

ValentinaT Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{ 6  2 }{ 5  1 } = \frac{ 8 }{ 6}\]
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
So for AB (1+5)^2+(62)^2
 2 years ago

MathLegend Group TitleBest 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.
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
(1+5)^2+(62)^2 (6)^2+(8)^2 36+64
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
36+64 = 100
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
\[\sqrt{100}\]
 2 years ago

MathLegend Group TitleBest 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
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
So side AB = 10
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
So that is one side. So lets go for side BC
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
B = (1,6) x1 y1 C = (1,2) x2 y2
 2 years ago

MathLegend Group TitleBest 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.
 2 years ago

ValentinaT Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{ 2  6 }{ 1  1 } = \frac{ 8 }{ 0 }\]
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
Remember we are not trying to find a slope.
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
We are looking for the distance between the vertices.
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
(11)^2 + (2+6)^2
 2 years ago

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

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
(11)^2 + (2+6)^2 Try solving that.
 2 years ago

ValentinaT Group TitleBest ResponseYou've already chosen the best response.1
Okay, 0 + 64?
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
0 + 64 = 64 \[\sqrt{64}\]
 2 years ago

ValentinaT Group TitleBest ResponseYou've already chosen the best response.1
So, 8 as the square root.
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
Yes, so side BC = 8
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
Now, try side AC
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
(x2x1)^2+(y2y1)^2
 2 years ago

ValentinaT Group TitleBest 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?
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
(x2x1)^2+(y2y1)^2 (1+5)^2 + (22)^2 Do you understand this step?
 2 years ago

ValentinaT Group TitleBest ResponseYou've already chosen the best response.1
36 + 0 Yeah I get it, I just couldn't figure out how to write it.
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
Good so if you took the square root of 36 \[\sqrt{36}\]
 2 years ago

MathLegend Group TitleBest ResponseYou've already chosen the best response.5
So now, we know the length of the longest side is AB
 2 years ago

ValentinaT Group TitleBest ResponseYou've already chosen the best response.1
Okay, thank you!
 2 years ago
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