# A friend of Pythagoras- What am I?

I'm a friend of Pythagoras,

well more like a son of Pythagoras.

I am field,

not a baseball field.

But a field of mats.

My mum's name is atwo,

My leg is always shorter than my arms combined,

Sure, my leg can be a hypocrite,

Or something along those lines.

Well, anyway I better get going,

But I hope you'll get to know me,

Since i'm quite popular, really.

What am I?

It seems you are

A rectangle triangle (a triangle with a right angle)

I'm a friend of Pythagoras,
well more like a son of Pythagoras.

Pythagoras is the author of the theorem named after him, applicable on rectangle triangles.

I am field,
not a baseball field.
But a field of mats.

A triangle is a polygon, it has an area, a perimeter... It occupies space.

My mum's name is atwo,

This refers to Pythagora's theorem $$a^2 + b^2 = c^2$$. The square of the length of the hypotenuse is equal to the sum of the square of the length of the two ther sides.

My leg is always shorter than my arms combined,
Sure, my leg can be a hypocrite,
Or something along those lines.

The triangle's "leg", its hypotenuse, is always shorter than the combined lengths of the two other sides (arms). Hypotenuse also starts a bit like the word hypocrite.

Well, anyway I better get going,
But I hope you'll get to know me,
Since i'm quite popular, really.

• Why didn't you ^vote the puzzle? Maybe not yet. I appreciate your solution. This comment will self destruct.
– humn
Apr 14, 2022 at 16:10
• Great job! I was looking "triangle" but "rectangle triangle" is also right. Apr 14, 2022 at 16:17
• I like they way you interpreted the word "mats" but I originally meant it to resemble "maths". So the sentence would read "But a field of maths" referring to trigonometry. Apr 14, 2022 at 16:20