Big Blue Huddle

General Category => The Front Porch => Topic started by: Jolly Blue Giant on January 23, 2024, 11:36:19 AM

Title: Brain Candy for Math Whizzes
Post by: Jolly Blue Giant on January 23, 2024, 11:36:19 AM
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

(https://i.postimg.cc/zBZf6LQH/Math-problem.jpg) (https://postimages.org/)
Title: Re: Brain Candy for Math Whizzes
Post by: Bob In PA on January 23, 2024, 11:39:59 AM
Hint: Pythagorean theorem.  I've seen this before so will not say more, except.... hint: Pythagorean theorem.  Bob
Title: Re: Brain Candy for Math Whizzes
Post by: Ed Vette on January 23, 2024, 11:49:22 AM
half or 50%
Title: Re: Brain Candy for Math Whizzes
Post by: Jolly Blue Giant on January 23, 2024, 11:53:35 AM
Okay...you guys are too smart and didn't even have to work for it  :what:

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

Until the professor draws a simple line making everyone go  :doh:

(https://i.postimg.cc/jdLmB8Ym/Math-problem-answer.jpg) (https://postimages.org/)

And yes...Pythagorean theorem can easily be applied here
Title: Re: Brain Candy for Math Whizzes
Post by: T200 on January 23, 2024, 11:57:31 AM
100% is colored. Half is gray, the other half is yellow/orange.  =))  =))
Title: Re: Brain Candy for Math Whizzes
Post by: Ed Vette on January 23, 2024, 12:25:05 PM
Quote from: Jolly Blue Giant on January 23, 2024, 11:53:35 AMOkay...you guys are too smart and didn't even have to work for it  :what:

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

Until the professor draws a simple line making everyone go  :doh:

(https://i.postimg.cc/jdLmB8Ym/Math-problem-answer.jpg) (https://postimages.org/)

And yes...Pythagorean theorem can easily be applied here
Or slide the peak to the corner.
Title: Re: Brain Candy for Math Whizzes
Post by: Jolly Blue Giant on January 23, 2024, 01:38:39 PM
Quote from: Ed Vette on January 23, 2024, 12:25:05 PMOr slide the peak to the corner.

Didn't think of that...smart!
Title: Re: Brain Candy for Math Whizzes
Post by: Bob In PA on January 23, 2024, 01:57:30 PM
Quote from: Ed Vette on January 23, 2024, 12:25:05 PMOr 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