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Which triangle has hypotenuse GF?

triangle AFG
triangle BFG
triangle EFG
triangle DFG

Which triangle has hypotenuse GF? triangle AFG triangle BFG triangle EFG triangle-example-1

2 Answers

7 votes

the triangle with the hypotenuse GF would be triangle EFG

or C

User Kesong Xie
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4 votes
Points G and F are both on the bottom face, so the third missing point must be also on the bottom face. The third point is either H or E. Since H isn't listed in the answer choices, it has to be point E. The only answer choice that has point E is the third choice EFG

Answer: Triangle EFG

See the attached image to see the triangle EFG. The right angle (aka 90 degree angle) is at point E. The hypotenuse GF is opposite the right angle. The hypotenuse is ALWAYS opposite the right angle. This is because the longest side is always opposite the largest angle of the right triangle. The 90 degree angle is the largest angle of the right triangle.
Which triangle has hypotenuse GF? triangle AFG triangle BFG triangle EFG triangle-example-1
User Bhagyesh
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8.0k points