SOLUTION: *i tried to put this in the geometry category for pythagreon thereom but for some reason it wouldnt let me The hypotenuse of a right triangle is 2cm longer than one leg and 4cm

Question 252093: *i tried to put this in the geometry category for pythagreon thereom but for some reason it wouldnt let me
The hypotenuse of a right triangle is 2cm longer than one leg and 4cm longer then the other.
a.draw and label a diagram
- i attempted to do this and i got the hypotenuse to be 4x and one leg to be 2x and the other to be x
b.let x represent the length of the hypotenuse. Use the pythagreon thereom to write an equation to solve for x.
-i used a squared + b squared=c squared and got 2x squared plus x squared= 4x squared, i was not sure if this was correct but i had to make an attempt
c. find the solutions from the equation in part b.
- i tried to solve for x but i got zero which cant be right because if you plug it into the equation you get zero for all the sides which would make this whole question pointless
help would be very appreciated

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The hypotenuse of a right triangle is 2cm longer than one leg and 4cm longer then the other.
a.draw and label a diagram
Let one leg be x-2.
hypotenuse = x
Other leg = x-4
-----------------------
b.let x represent the length of the hypotenuse. Use the pythagreon thereom to write an equation to solve for x.
Equation:
x^2 = (x-2)^2 + (x-4)^2
x^2 = x^2-4x+4 + x^2-8x+16
x^2 = 2x^2 - 12x + 20
x^2-12x+20 = 0
(x-10)(x-2) = 0
x = 2 or x = 10
-----------------------
Only solution is x=10 because all sides must be positive.
hypotenuse = 10
leg = 10-2 = 8
leg = 10-4 = 6
----------------------
Cheers,
Stan H.
----------------------
RELATED QUESTIONS
Graph the piecewise continuous function f (x)= {x,-2 (answered by Edwin McCravy)
I'm actually not sure if this question falls in this category but it looks like it does. (answered by stanbon,Earlsdon)
2x + 3 = 3x - 4 ------ ------- __7____2 (i only put in the "__" because it wouldnt (answered by checkley77)
Hello. I do not know if this fits into the right category but I tried my best. Ok so I... (answered by algebrapro18)
Thanks in advance to whoever helps me. The question is, The area of an equilateral... (answered by Alan3354)
My teacher handed us a worksheet on algabraic proofs and told us to do it for homework. I (answered by rothauserc)
HELP PLEASE! I for some reason can not understand how to figure out this problem. It (answered by Alan3354)
what is ther standard form of y=16-x+3x. at the end of three in my equation i wanted to... (answered by ewatrrr)
I am a mom who is trying to help my 11th grade daughter with her algebra. I remember a... (answered by pwac)