SOLUTION: If A=19, and B=8, find the values of x,y,and z. Picture Link=https://imgur.com/a/5ipmR

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Question 1092244: If A=19, and B=8, find the values of x,y,and z.
Picture Link=https://imgur.com/a/5ipmR
Answer by math_helper(2461) About Me  (Show Source):
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(1) +y%5E2+%2B+z%5E2+=+%288%2B19%29%5E2+
(2) +x%5E2+%2B+8%5E2+=+z%5E2+
(3) +x%5E2+%2B+19%5E2+=+y%5E2+
Solving (I used substitution for +z%5E2 in (2) and +y%5E2+ in (3) into (1)):
—
Ans:
+highlight%28x=sqrt%28152%29%29+
+highlight%28y=sqrt%28513%29%29+
+highlight%28z=sqrt%28216%29%29+
—
Check:
y%5E2+%2B+z%5E2+=+513%2B216+=+729+=+27%5E2+=+%288%2B19%29%5E2+ (ok)
+x%5E2+%2B+8%5E2+=+152%2B64+=+216+=+z%5E2+ (ok)
+x%5E2+%2B+19%5E2+=+152%2B361+=+513+=+y%5E2+ (ok)