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At last week's math department meeting (I teach Spec Ed at a ~600 student high school) I mentioned this fun new channel I discovered called Andy Math. This video is going in an email to the department. Thanks, these are a lot a fun.
I JUST REALIZED, I GOT THIS EXACT PROBLEM ON MY MATH TEST! I’m so gonna watch all your videos looking for more problems they put on my tests, sneaky teachers…
Pretty sure I’ve looked at Brilliant. I will definitely look again. Anything that demonstrates the deep beauty of mathematics is truly exciting to me. Thanks.
I have this math challenge I’ve tried for a while but still can’t get it. Is there a way you can try it? Also how would I be able to give the challenge? Edit: I don’t know if it’s possible.
I am a designer so sometimes I use 3d model to solve these questions. But I also do this with my own. And usually the number is without any decimals so I solve it 2 times reaching same answer 15.430 and then give up to look for your explanation and get the same answer (never doubting me again)
I did it using trigonometry. Let: x be the length of the lower side of the right. y be the length of the side of the square. z be de length of the lower side of the left. Using tan(), we can get this: x = y÷tan(60°) z = y÷tan(30°) Then, we can solve for y: x + y + z = 13 cm (y÷tan(60°)) + (y÷tan(30°)) + y = 13 cm y(1÷tan(60) + 1÷tan(30°) + 1) = 13 cm y = 13 cm÷(1÷tan(60°) + 1÷tan(30°) + 1) I plugged it into my calculator and gave me y = 4√3 - 3. y² = 57 - 24√3.
Because that is just a decimal approximation of the area. You should always try to arrive at an exact form of the solution first, rather than approximating as you go. 3.93² actually gives you 15.44 (rounded down), not the correct rounded down approximation of 15.43