General right triangle

In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse.

Correct answer:

x =  14
X =  19.7647

Step-by-step explanation:

a = x+34 b = x c=50  c>a>b  c2 = a2+b2  502=(x+34)2+x2  2x268x+1344=0 2x2+68x1344=0 2 ...  prime number 68=2217 1344=2637 GCD(2,68,1344)=2  x2+34x672=0  a=1;b=34;c=672 D=b24ac=34241(672)=3844 D>0  x1,2=2ab±D=234±3844 x1,2=234±62 x1,2=17±31 x1=14 x2=48  x>0 x=x1=14

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Try calculation via our triangle calculator.

a>b>c a2 = b2+c2  (X+34)2= X2 + 502  68X1344=0  68 X1344=0  68X=1344  X=681344=19.76470588  X=1733619.764706=19.7647

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