A community for students.
Here's the question you clicked on:
 0 viewing
ValentinaT
 2 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
 2 years ago
What is the length of the longest side of a triangle that has vertices at (5, 2) (1,6) and (1,2)?

This Question is Closed

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

v4xN0s
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.5I would also suggest labeling your coordinates

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

MathLegend
 2 years ago
Best ResponseYou've already chosen the best response.5So now, we know the length of the longest side is AB
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.