Solve for Length "X"

[Titusfied]

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.

["angel" of war]

whats the lenth of the bases

[Titusfied]

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.

[Medieval Bob]

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

[Mantralord]

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

[Chruser]

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

[Medieval Bob]

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

[!King_Amazon!]

X=26.833752.....

OR

X=93.166248.....

Check my work.

Nevermind, I checked it myself.

Take that you college boys, sophomore coming for ya!

[Titusfied]

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

[!King_Amazon!]

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

[slaynish]

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

[!King_Amazon!]

Yes.

[Medieval Bob]

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*

[!King_Amazon!]

Well it still works with your equation...

[Medieval Bob]

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.

[Mantralord]

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

[Penny_Bags]

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

[Medieval Bob]

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

[Titusfied]

Clever. I like that comeback. :)