Sides of right angled triangle

One leg is 1 m shorter than the hypotenuse, and the second leg is 2 m shorter than the hypotenuse. Find the lengths of all sides of the right-angled triangle.

Correct answer:

a =  4 m
b =  3 m
c =  5 m

Step-by-step explanation:

a=c1 b=c2  a2+b2=c2  (c1)2+(c2)2=c2  c26c+5=0  p=1;q=6;r=5 D=q24pr=62415=16 D>0  c1,2=2pq±D=26±16 c1,2=26±4 c1,2=3±2 c1=5 c2=1  c>2 c=c1=5  a=c1=51=4 m

Our quadratic equation calculator calculates it.

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?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
See also our right triangle calculator.
See also our trigonometric triangle calculator.

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

Related math problems and questions: