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In an obtuse triangle, how many altitudes fall inside and outside the triangle?
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I don't understand the question. The intersection of the altitudes?
When you extend the altitude outside the triangle. How many times is this?
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?
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Getting there.
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so based on the picture, 1 inside, 2 outside
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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