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Mathematics 17 Online
OpenStudy (anonymous):

In an obtuse triangle, how many altitudes fall inside and outside the triangle?

OpenStudy (anonymous):

I don't understand the question. The intersection of the altitudes?

OpenStudy (anonymous):

When you extend the altitude outside the triangle. How many times is this?

OpenStudy (anonymous):

In an obtuse triangle, an altitude can fall outside the triangle. In an obtuse triangle, how many altitudes fall outside the triangle and how many fall inside?

OpenStudy (phi):

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OpenStudy (anonymous):

Getting there.

OpenStudy (anonymous):

so based on the picture, 1 inside, 2 outside

OpenStudy (phi):

Yes. You could try proving it... but drawing a few examples should convince you it will be two outside and one inside.

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