+0  
 
0
83
3
avatar

An equilateral triangle has two vertices at (0,5) and (8,5). If the third vertex is in the first quadrant, what is the y-coordinate? Express your answer in simplest radical form.

 Jul 29, 2020
 #1
avatar+27972 
+2

To be in Q I   it will need to be ABOVE the line drawn..... the x - point it will be midway between the two points

   x = 4

 

coordinate will be    4, y        and the distance from either of the given points will be 8

  use distance formula from  0,5  (easiest)   and    4,y    to find the distance 8

 

8^2 = (4-0)^2 + (y-5)^2        solve for y

 Jul 29, 2020
 #2
avatar
+1

Thank you!

Guest Jul 29, 2020
 #3
avatar
0

Height of a triangle     h = 4√3 ≈ 6.928

 

y-coordinates    y( 4, 11.928 )

 Jul 29, 2020

21 Online Users

avatar