sugarysweetsadness
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Two vertices of a right triangle have coordinates (6, −2) and (1, 6) .

Select each ordered pair that could be the coordinates of the third vertex.

​ (6, 6) ​

​​ ​ (1, −2) ​

​ ​ (1, 1) ​ ​

​ (−2, 1) ​

Respuesta :

amaraiya1
(1, -2) (just typing this because this needs to be 20 characters long)
kudzordzifrancis

ANSWER

The coordinates of the third vertices are [tex](6,6)[/tex] or [tex](1,-2)[/tex].

EXPLANATION

Let the hypotenuse of the right angle triangle have vertices [tex](6,-2)[/tex] and [tex](1,6)[/tex].

The third point is the intersection of the horizontal line that passes through (6,-2), that has equation [tex]y=-2[/tex] and the vertical line that passes through [tex](1,6)[/tex] which also has equation [tex]x=1[/tex].

Hence one possible coordinates of the third vertex is [tex](1,-2)[/tex].


The third vertex could also be the intersection of the vertical line that passes through (6,-2), that has equation [tex]x=6[/tex] and the horizontal line that passes through [tex](1,6)[/tex] which also has equation [tex]y=6[/tex].


Hence another possible coordinates of the third vertex is [tex](6,6)[/tex].


See diagram in attachment

Ver imagen kudzordzifrancis