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NeTakaya
3 years ago
12

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

Mathematics
2 answers:
earnstyle [38]3 years ago
6 0
(1, -2) (just typing this because this needs to be 20 characters long)
Ira Lisetskai [31]3 years ago
5 0

ANSWER

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

EXPLANATION

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

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

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


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


Hence another possible coordinates of the third vertex is (6,6).


See diagram in attachment

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