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In triangle FGH, GH = 9 2/3 and FH = 7 and FG = 9 1/2 . Which is the largest angle of the triangle?​

User Darwind
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1 Answer

20 votes
20 votes

Answer:

angle F

Explanation:

You want the largest angle in ∆FGH with sides GH = 9 2/3, FH = 7, FG = 9 1/2.

Angles

The largest angle will be opposite the longest side. Its vertex will be the point that is not an endpoint of that side.

The longest side is GH = 9 2/3, which is longer than the second-longest side, FG = 9 1/2. The vertex opposite side GH is F.

Angle F is the largest angle of the triangle.

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Additional comment

Its other names are angle GFH and angle HFG.

Angle F is about 69.9°, larger than angle H, which is about 67.3°. Congruent triangle ABC is shown in the attachment.

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In triangle FGH, GH = 9 2/3 and FH = 7 and FG = 9 1/2 . Which is the largest angle-example-1
User Stefano Travelli
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