Solve for Length "X"

Can you solve for length "X" here, because if you can, I think this could help give an answer to the last Probability Riddle I posted.

whats the lenth of the bases

The answer is actually posted in the new Probability Riddle I posted last night. Anyway, this is all the information you are allowed to get. Basically, its guess and check, not very fun.

The base if one triangle is X/(root(2)) Therefore, the length of the rectangle is 60(root(2)) - X(root(2)).

Since the height of the triangle is also X/(root(2)), the area of the rectangle is (root(2))(60-X)(X)/root(2) = 60X-X^2

The area of both triangles together is BH which is (X^2)/2

Therefore, the total area (given) 1250 = (X^2)/2 + 60X - X^2
= 60X - (X^2)/2

X = (apprx) 26.835

My brute force program works! Thats around what I got with it...around the square root of 720 is the answer..

Seems to work really well. Both of your answers are correct.

Um... you need to hoox me up with that brute force prog. It may be useful. PM me or somethin will ya?

X=26.833752.....

OR

X=93.166248.....

Check my work.

Nevermind, I checked it myself.

Take that you college boys, sophomore coming for ya!

Now why did I use this to solve that Probability question? That is the question...

This isn't too easy to do on a graphing calculator, but I know those 2 are correct answers. There could be more.

eh were you trying to figure the measurements of the side of the triangles?

Yes.

X=26.833752..... OR X=93.166248..... Check my work. Nevermind, I checked it myself. Take that you college boys, sophomore coming for ya!

*college boy bitch-slaps sophomore*

93 won't work. Check the bottom length. It is given as 84.85
If X is 93, the length of the bottom of one triangle is 65.76
That means, that the total of the bottom is 131.52 + the length of the rectangle.

That would mean that the length of the rectangle is -46.67 which is impossible.

*bitch-slap with other hand*

Well it still works with your equation...

It is an extraneous solution.

Example: The area of a square is 64.

The formula for the area of a square is Side^2

From the forumla, the sides could be 8 or -8

However, -8 can be ignored because length cannot be negative.

Well Bob, I deleted the brute force program after I was done with it...besides, it would only be useful in this situation.

Random off topic note: Bitch slaps come from ancient Hebrew tradition and must be done with your left-hand, your ass-wiping hand.

Well, I am ambi-ass-wipe-adextrous then.

Clever. I like that comeback.