Brain Candy for Math Whizzes

[Jolly Blue Giant]

Proportionately, how much of the rectangle is colered?

Please don't grab your trig tables and calculators, just take a stab at it based on intuition

[Bob In PA]

Hint: Pythagorean theorem.  I've seen this before so will not say more, except.... hint: Pythagorean theorem.  Bob

[Ed Vette]

half or 50%

[Jolly Blue Giant]

Okay...you guys are too smart and didn't even have to work for it 

When this question was posed to college students, the typical response was 2/3

Until the professor draws a simple line making everyone go 



And yes...Pythagorean theorem can easily be applied here

[T200]

100% is colored. Half is gray, the other half is yellow/orange.   

[Ed Vette]

Okay...you guys are too smart and didn't even have to work for it 

When this question was posed to college students, the typical response was 2/3

Until the professor draws a simple line making everyone go 



And yes...Pythagorean theorem can easily be applied here

Or slide the peak to the corner.

[Jolly Blue Giant]

Or slide the peak to the corner.

Didn't think of that...smart!

[Bob In PA]

Or slide the peak to the corner.

Ed: That's how I looked at it too. Even more obvious is if you slide the peak to the middle.  Bob