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# Help me with this problem! Parallel and Perpendicular Lines

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The coordinates G(7, 3), H(9, 0), I(5, -1) form what type of polygon?

an obtuse triangle

an acute triangle

an equilateral triangle

a right triangle

Apr 23, 2018
edited by Learnerrider02  Apr 23, 2018
edited by Learnerrider02  Apr 23, 2018

### 1+0 Answers

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G = (7,3)    H = ( 9,0)    I  = ( 5, -1)

Distance from   G to H  = √ [ (9- 7)^2 + (3 - 0)^2  ]  = √ [ 2^2  + 3^2  ]  =  √13

Distance  from G to I  = √ [ (7 -5)^2 + (-1 - 3)^2 ]  = √ [ 2^2 + 4^2]  = √20

Ditance  from H to I  =  √ [ (9 - 5)^2  + 1^2  ] =  √ 17

Defintely  NOT an equilateral triangle......nor  a right triangle   because GH^2 + HI^2  > GI^2

We have  an acute triangle......if it was obtuse   GH^2 + HI^2   would be  <  GI^2

See the pic here to verify this :    Apr 23, 2018