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?

____________________________

109th Skywatcher

Here are some links to Things!

Click here to view the secret text

*[Last edited by Xindaris at 12-13-2019 02:00 AM]*