## Poll

10 votes (43.47%) | |||

9 votes (39.13%) | |||

5 votes (21.73%) | |||

2 votes (8.69%) | |||

7 votes (30.43%) | |||

3 votes (13.04%) | |||

4 votes (17.39%) | |||

3 votes (13.04%) | |||

9 votes (39.13%) | |||

7 votes (30.43%) |

**23 members have voted**

May 4th, 2020 at 6:39:42 PM
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What playing card completes the puzzle?

Have you tried 22 tonight? I said 22.

May 6th, 2020 at 6:34:44 AM
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Only consider rows.

___________________________

Meanwhile,

Using the numbers 2, 3, 4, and 5, and the symbols + and =, write a true statement. You must use each number and symbol once and only once.

Have you tried 22 tonight? I said 22.

May 6th, 2020 at 7:14:30 AM
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Quote:GialmereOnly consider rows.

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Meanwhile,

Using the numbers 2, 3, 4, and 5, and the symbols + and =, write a true statement. You must use each number and symbol once and only once.

3

^{2}= 4 + 5

or

2

_{4}+ 3 = 5

I heart Crystal Math.

May 6th, 2020 at 7:26:04 AM
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Quote:CrystalMathQuote:GialmereOnly consider rows.

___________________________

Meanwhile,

Using the numbers 2, 3, 4, and 5, and the symbols + and =, write a true statement. You must use each number and symbol once and only once.

3^{2}= 4 + 5

or

2_{4}+ 3 = 5

Correct!

I always liked that little trick.

Q) What do you call ginger cut into a cube?

A) A square root.

Have you tried 22 tonight? I said 22.

May 6th, 2020 at 3:53:15 PM
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Here's another one that made a stir a while back. Hopefully it hasn't already been posted.

What fraction of the square is shaded?

What fraction of the square is shaded?

Have you tried 22 tonight? I said 22.

May 6th, 2020 at 4:54:53 PM
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Quote:GialmereHere's another one that made a stir a while back. Hopefully it hasn't already been posted.

What fraction of the square is shaded?

I tried to post an image to Imgur, but apparently you can't link directly from Imgur any more.

Anyway, I'll try to describe it...

Let ABCD be the square, with A at the upper left and B at the upper right

Let M be the midpoint of AB

Let X be where AC intersects BM; the shaded triangle is DXC

Let N be the midpoint of CD

Let E and F be on AB and CD, respectively, such that EF goes through X

Assume AB = 2; AM = 1

Let h be the length of EX; FX = 2 - h

MDN is similar to XDF, so XF/FD = MN/ND = 2, and FX = 1 - h/2

ABC is similar to AEX, so AE/EX = AB/BC = 1, which means AE = EX = h, which means FD = h

h = 1 - h/2, so h = 2/3, and 2 - h = 4/3

The area of CXD = 1/2 * (2 - h) * 2 = 4/3

The area of the square is 4, so the fraction = (4/3) / 4 = 1/3

May 6th, 2020 at 5:14:53 PM
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Quote:ThatDonGuy

I tried to post an image to Imgur, but apparently you can't link directly from Imgur any more.

Anyway, I'll try to describe it...

Let ABCD be the square, with A at the upper left and B at the upper right

Let M be the midpoint of AB

Let X be where AC intersects BM; the shaded triangle is DXC

Let N be the midpoint of CD

Let E and F be on AB and CD, respectively, such that EF goes through X

Assume AB = 2; AM = 1

Let h be the length of EX; FX = 2 - h

MDN is similar to XDF, so XF/FD = MN/ND = 2, and FX = 1 - h/2

ABC is similar to AEX, so AE/EX = AB/BC = 1, which means AE = EX = h, which means FD = h

h = 1 - h/2, so h = 2/3, and 2 - h = 4/3

The area of CXD = 1/2 * (2 - h) * 2 = 4/3

The area of the square is 4, so the fraction = (4/3) / 4 = 1/3

Correct!

Another quick solve for TDG!

-------

Q) How do triangles communicate?

A) They use sine language.

Have you tried 22 tonight? I said 22.

May 6th, 2020 at 6:36:56 PM
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I didn't see a solution to the card puzzle? I can't figure it out.

May 6th, 2020 at 8:15:45 PM
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Quote:GialmereHere's another one that made a stir a while back. Hopefully it hasn't already been posted.

What fraction of the square is shaded?

Length of square =1,

Equation of slanting line 1 : y = 2x

Equation of slanting line 2 : y = -x + 1

Find Intersection point :-

2x = -x +1

x = 1/3, y = 2/3

Shaded area = 2/3 * 1 * 1/2 = 1/3

Square area = 1

Fraction = 1/3 / 1 = 1/3

May 7th, 2020 at 5:58:43 AM
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Quote:ssho8

Length of square =1,

Equation of slanting line 1 : y = 2x

Equation of slanting line 2 : y = -x + 1

Find Intersection point :-

2x = -x +1

x = 1/3, y = 2/3

Shaded area = 2/3 * 1 * 1/2 = 1/3

Square area = 1

Fraction = 1/3 / 1 = 1/3

Correct!

Your logic is easier to follow.

Have you tried 22 tonight? I said 22.