The coordinates of triangle FGH are F (2, 4), G (5, - 9) and H (-3, - 4). Which statement proves that triangle FGH is a right triangle? (m = y2 - y1 x2 - x1) A) The slope of GH = 5 8, and the slope of FH = 8 5; therefore, GH ⊥ FH. B) The slope of FG = - 5 8, and the slope of GH = 5 8; therefore, FG ⊥ GH. C) The slope of GH = - 5 8, and the slope of FH = 8 5; therefore, GH ⊥ FH. D) The slope of GH = - 8 5, and the slope of FH = - 5 8; therefore, GH ⊥ FH.

Question

Mathematics

Renee

9 May, 18:40

The coordinates of triangle FGH are F (2, 4), G (5, - 9) and H (-3, - 4). Which statement proves that triangle FGH is a right triangle? (m = y2 - y1 x2 - x1) A) The slope of GH = 5 8, and the slope of FH = 8 5; therefore, GH ⊥ FH. B) The slope of FG = - 5 8, and the slope of GH = 5 8; therefore, FG ⊥ GH. C) The slope of GH = - 5 8, and the slope of FH = 8 5; therefore, GH ⊥ FH. D) The slope of GH = - 8 5, and the slope of FH = - 5 8; therefore, GH ⊥ FH.

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Answers (1)

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Veronica Leach · Answer 1

The equation of the slope is given by:

m = (y2 - y1) / (x2 - x1)

For GH we have:

m = (-4 - (-9)) / (-3 - 5)

m = (5) / (-8)

m = - 5 / 8

For FH we have:

m = (-4 - 4) / (-3 - 2)

m = (-8) / (-5)

m = 8/5

Answer:

C) The slope of GH = - 5/8, and the slope of FH = 8/5; therefore, GH ⊥ FH