Perpendicular 40203

In a right triangle, one perpendicular is 5 cm longer than the other perpendicular. The diaphragm is 150 mm. Calculate the lengths of the hangings.

Correct answer:

a =  12.8078 cm
b =  7.8078 cm

Step-by-step explanation:

c=150 mm cm=150:10  cm=15 cm a = 5 + b  a2+b2=c2 a2+(a5)2=c2  a2+(a5)2=152 2a210a200=0 2 ...  prime number 10=25 200=2352 GCD(2,10,200)=2  a25a100=0  p=1;q=5;r=100 D=q24pr=5241(100)=425 D>0  a1,2=2pq±D=25±425=25±517 a1,2=2.5±10.307764 a1=12.807764064 a2=7.807764064  a=a1=12.8078=12.8078 cm

Our quadratic equation calculator calculates it.

b=a5=12.807857.8078 cm   Verifying Solution:  c1=a2+b2=12.80782+7.80782=225

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