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

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