SOLUTION: Please, i need your help to understand how to solve the measurement of the hypotenuse. I understand a^2+b^2=c^6, but i dont understand how to solve for a missing side when rational

Question 175482: Please, i need your help to understand how to solve the measurement of the hypotenuse. I understand a^2+b^2=c^6, but i dont understand how to solve for a missing side when rationalized into a radical.
for example, a=18 b=? c=33
i know it should be 324+b^2=1089
-324
b^2=765
but what do i do next?
i would greatly appreciate it if you helped me. thank you.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

We basically have this triangle set up (note: you can rearrange the triangle):

Since the legs are and this means that and

Also, since the hypotenuse is , this means that .

Start with the Pythagorean theorem.

Plug in , ,

Square to get .

Square to get .

Subtract from both sides.

Combine like terms.

Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).

Simplify the square root. (note: If you need help with simplifying square roots, check out this solver)

================================================================

Answer:

So the solution is which approximates to .

RELATED QUESTIONS
I know that the fomula x= -b/2a is used to solve for the minimum/maximum value of a... (answered by jim_thompson5910,robertb)

Two legs of a right triangle are the same. The hypotenuse is 6 meters, what is the length (answered by mollukutti,ankor@dixie-net.com)

I don't understand very well the plynomials topic. I have a study guide, but i dont know (answered by MathLover1,jihye07)

Please help me solve the equation 2x - 6 = 2. I dont understand how to do this problem.... (answered by tutorcecilia)

Use the graph of the function to estimate: a. f(2) b. f(�4) c. All x such that f(x)... (answered by Edwin McCravy,Edwin Parker)

How do you find the answers to y=mx+b. I just dont understand. Please... (answered by wuwei96815)

I need to solve this equation by finding square roots. I don't really understand how to... (answered by checkley71)

i need help to factorize x^6 - 7x^3 -8 i know the answer its (x-2)(x+2x+4) (x^2-x +1) but (answered by stanbon)

i dont understand how to solve the problems. for example: -2x + 4y = 0 PLEASE... (answered by longjonsilver)