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

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v4xN0s
 3 years ago
Best ResponseYou've already chosen the best response.0Use the distance formula

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

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

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

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

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

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

MathLegend
 3 years ago
Best ResponseYou've already chosen the best response.5A= (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

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

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

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

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

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

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

MathLegend
 3 years ago
Best ResponseYou've already chosen the best response.5I'm sorry the formula is actually x2x1 and y2y1 the above poster just mixed up the two.

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

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

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

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

MathLegend
 3 years ago
Best 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.

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

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

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

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

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

MathLegend
 3 years ago
Best ResponseYou've already chosen the best response.50 + 64 = 64 \[\sqrt{64}\]

ValentinaT
 3 years ago
Best ResponseYou've already chosen the best response.1So, 8 as the square root.

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

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

ValentinaT
 3 years ago
Best ResponseYou've already chosen the best response.136 + 0 Yeah I get it, I just couldn't figure out how to write it.

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

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