Perpendicular 5516

In a right triangle, one perpendicular is 1 m shorter than the hypotenuse. The other perpendicular is 2 m shorter than the hypotenuse. Find the lengths of all sides of the triangle.

Correct answer:

a =  4 m
b =  3 m
c =  5 m

Step-by-step explanation:

a=c1 b=c2 c2=a2+b2=42+b2=0 c2=(c1)2+(c2)2  c2+6c5=0 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   Factored form of the equation:  (c5)(c1)=0  c>2 c=c1=5 m a=c1=51=4 m

Our quadratic equation calculator calculates it.

b=c2=52=3 m
c=5=5 m



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