CalculatorUser

Do these pictures give any ideas?

This is a fun problem! Here is the pic:

Notice the red and green triangles. The red triangle has a base of 1 and a width of 2, based on Pytahgorean theorem, we can conclude it has a hypotenuse of \(\sqrt{5}\).

Notice how the red and the green triangles SHARE a hypotenuse.

We know that one of the legs of the green triangle has a length of 2. The red and green triangle share a hypotenuse, so knowing the green triangle's hypotenuse and one of its legs, we can conclude through the pythathoream theorem that the base of the triangle is 1.

With this information, the red and the green triangle have EQUAL areas.

We know the area of the RED triangle from the previous picture is 2 * 1 = 2/2 = 1.

Can you solve this? I know I can't. Help.

I think something about this has to do with Pascal's Triangle.

This might be wrong

Each vertice can connect to 6 points.

There are 5 * 2 = 10 vertices in the diagram.

so 6 * 10 = 60.

We overcounted each twice.

so 

60 / 2 = 30????

The families are distinguishable, the people in the families are indistinguishable.

So we have to arrange four As, four Bs, and four Cs.

\(\frac{12!}{4!4!4!}\)

12!/(4!*4!*4!) = 34650

yup I don't know how to use trig. thats why I screwed up my answer lol.

Well, rip my scissors