General right triangle

In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse.

Correct answer:

x =  14
X =  19.7647

Step-by-step explanation:

a = x+34 b = x c=50  c>a>b  c2 = a2+b2  502=(x+34)2+x2  −2x2−68x+1344=0 2x2+68x−1344=0 2 ...  prime number 68=22⋅17 1344=26⋅3⋅7 GCD(2,68,1344)=2  x2+34x−672=0  a=1;b=34;c=−672 D=b2−4ac=342−4⋅1⋅(−672)=3844 D>0  x1,2​=2a−b±D​​=2−34±3844​​ x1,2​=2−34±62​ x1,2​=−17±31 x1​=14 x2​=−48  x>0 x=x1​=14

Our quadratic equation calculator calculates it.


Try calculation via our triangle calculator.

a>b>c a2 = b2+c2  (X+34)2= X2 + 502  68X−1344=0  68⋅ X−1344=0  68X=1344  X=681344​=19.76470588  X=17336​≐19.764706=19.7647

Try calculation via our triangle calculator.


Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
See also our right triangle calculator.
Do you want to convert time units like minutes to seconds?

You need to know the following knowledge to solve this word math problem:

Units of physical quantities:

Grade of the word problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: