+43 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
+129846 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 :
