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 = c−1 b = c−2  a2+b2 = c2  (c−1)2+(c−2)2=c2  c2−6c+5=0  p=1;q=−6;r=5 D=q2−4pr=62−4⋅1⋅5=16 D>0  c1,2​=2p−q±D​​=26±16​​ c1,2​=26±4​ c1,2​=3±2 c1​=5 c2​=1  c>2 c=c1​=5  a=c−1=5−1=4 m

Our quadratic equation calculator calculates it.

b=c−2=5−2=3 m
c=5=5 m

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