GJ bisects ∠FGH and is a perpendicular bisector of FH. What is true of triangle FGH? It is a right triangle. It is an obtuse triangle. It has exactly 2 congruent sides. It has exactly 3 congruent sides.

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katie0nicholson katie0nicholson

07-06-2017
Mathematics

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GJ bisects ∠FGH and is a perpendicular bisector of FH. What is true of triangle FGH? It is a right triangle. It is an obtuse triangle. It has exactly 2 congruent sides. It has exactly 3 congruent sides.

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2017-06-14T14:24:03+02:00

Given triangle FGH and line GJ such that line GJ bisects ∠FGH and is a perpendicular bisector of FH.

For the bisector of an angle of a triangle to be a perpendicular bisector of the oppose side, it means that the triangle is an isosceles triangle with the angle bisected in-between the two equal sides of the isosceles triangle.
Thus line FG = line GH meaning the TG is congruent to GH.

Also, since GJ is a perpendicular bisector of FH at J, it means that line FJ is equal to line HJ and hence, FJ is congruent to HJ.

Therefore, the true statement about triagle FGH is that it has exactly 2 congruent sides.

23lipark50 23lipark50 · Answer 2 · 2020-07-12T21:30:35+02:00

23lipark50 23lipark50

12-07-2020

Answer:

it has exactly 3 congruent sides

Step-by-step explanation:

took the test lol

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