A right 3

A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides .

Correct answer:

a =  120 cm
b =  50 cm

Step-by-step explanation:

o=300 cm c=130 cm  o = a+b+c  a+b = oc=300  130 = 170  cm  c2 = a2+b2  c2=a2+(170a)2  1302=a2+(170a)2 2a2+340a12000=0 2a2340a+12000=0 2 ...  prime number 340=22517 12000=25353 GCD(2,340,12000)=2  a2170a+6000=0  p=1;q=170;r=6000 D=q24pr=1702416000=4900 D>0  a1,2=2pq±D=2170±4900 a1,2=2170±70 a1,2=85±35 a1=120 a2=50  a=a1=120=120 cm

Our quadratic equation calculator calculates it.

b=a2  b=170a=170120=50   Verifying Solution:  c2=a2+b2=1202+502=130 cm o2=a+b+c=120+50+130=300 cm



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