SOLUTION: In a right-angled triangle, one side is 2cm shorter than the hypotenuse, and the other is 4cm shorter than the hypotenuse. Find all three sides of the triangle using pythagoras' th

Algebra ->  Pythagorean-theorem -> SOLUTION: In a right-angled triangle, one side is 2cm shorter than the hypotenuse, and the other is 4cm shorter than the hypotenuse. Find all three sides of the triangle using pythagoras' th      Log On


   



Question 820626: In a right-angled triangle, one side is 2cm shorter than the hypotenuse, and the other is 4cm shorter than the hypotenuse. Find all three sides of the triangle using pythagoras' theorem.
Answer by K. Bieber(4) About Me  (Show Source):
You can put this solution on YOUR website!
Say, the hypotenuse is x.
We know that, Pythagoras theorem is: h%5E2+=+o%5E2+%2B+a%5E2
Then, x%5E2+=+%28x-2%29%5E2+%2B+%28x-4%29%5E2
Then solve your equation for x.
After you find x, substitute the values in x-2+and+x-4.
You'll get ll the three values.