So, I was very bored today, with nothing but a pencil and paper to entertain myself. I wound up making up a few geometry puzzles based on isosceles triangles. They were developed independently, but there's a pretty good chance someone else already came up with them. Oh well. Anyway, if someone's interested in trying them out, here they are.
Puzzle 1:
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In this figure,
-The 3 blue lines are equal in length and all parallel.
-The 2 orange lines are equal in length.
-The 2 green lines are equal in length, and perpendicular to the blue ones.
-The triangle's area is 12 square units.
...How long is an orange line?
Puzzle 2:
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In this figure,
-The
3 blue lines are equal in length, parallel and 1 blue line is perpendicular to the green lines.
-The 2 green lines are equal in length, and their sum is equal to that of the
3 blue lines combined blue line.
-The 2 orange lines are equal in length, and that length is 1 unit.
...What is the area of the triangle minus the circle?
(WARNING: This one's answer is kind of a nasty number; I couldn't figure out how to make both the answer and the question have neat, simple numbers for this.)
Puzzle 3:
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Look, no circle this time!
In this figure,
-The two things that look like squares are indeed squares.
-The 2 green lines are equal in length.
-The 2 red lines are equal in length.
...The inner square's area is what number times the outer square's area? The figure itself suggests a number, but how can you be sure?
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109th Skywatcher
Here are some links to Things!
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[Last edited by Xindaris at 12-13-2019 02:00 AM]