The hypotenuse

The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides is 4 meters, find the other sides.

Correct answer:

a =  16 m
b =  12 m

Step-by-step explanation:

c=20 m a2+b2=c2 ab=4  m  a2+(a4)2=c2  a2+(a4)2=202 2a28a384=0 2 ...  prime number 8=23 384=273 GCD(2,8,384)=2  a24a192=0  p=1;q=4;r=192 D=q24pr=4241(192)=784 D>0  a1,2=2pq±D=24±784 a1,2=24±28 a1,2=2±14 a1=16 a2=12  a=a1=16=16 m

Our quadratic equation calculator calculates it.

b=a4=164=12 m



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