A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Points J (5,2) and K (2,5) are two vertices of a isosceles triangle. If L is the third vertex and has a ycoordinate of 4, what is the xcoordinate of L?
anonymous
 one year ago
Points J (5,2) and K (2,5) are two vertices of a isosceles triangle. If L is the third vertex and has a ycoordinate of 4, what is the xcoordinate of L?

This Question is Closed

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well there seem to be 2 options for this question 1. the sides LJ = KL so make the vertex L =(x, 4) and use the distance formula the 2nd choice would be JK is one of the equal sides... I think the 1st option is the easier

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1ok... so let L be the point (x, 4) so use the distance formula LJ \[d_{LJ} = \sqrt{(x  5)^2 +(4  2)^2}\] and LK \[d_{LK} = \sqrt{(x + 2)^2 +(4 + 5)^2}\] equate the distances... since the triangle is isosceles and sqaure both sides and you get \[(x 5)^2 +(4 2)^2 = (x +2)^2 + (4+5)^2\] so now you can distribute, simplify then solve for x hope it makes sense

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hey can we use the pythagoream theorum instead because we don't use the distance formula

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1the distance formula is pythagoras. theorem dw:1438981802265:dw

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1now looking at pythagoras dw:1438981887808:dw you can find LJ and LK in terms of pythagoras then solve for x that's all I did above.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do i use the pythagorean therorum with this

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1I already have by equating the lengths and squaring both sides of the equation you get \[(x 5)^2 + (4 2)^2 = (x + 2)^2 +(4 + 5)^2\] start by simplifying this equation
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.