I think you are on the right track to solving the missing
side of a right triangle. The Pythagorean Theorem states
that:
`a^2+b^2=c^2` , where a and b are the legs and c is
the hypotenuse. The hypotenuse is the longest side opposite of the right angle. The
legs form the right angle. Solve the Pythagorean Theorem for one of the legs,
b:
`b=sqrt(c^2-a^2)` . The + or - notation is missing
since the side of a triangle is not negative. Here is an example
problem.
Find leg b for a right triangle with a hypotenuse
length of 20 and a leg length of
12.
`b=sqrt(20^2-12^2)`
`b=sqrt(400-144)`
`b=sqrt(256)=16`
The
side length is 16. The combination of three numbers that satisfy the Pythagorean
Theorem are called Pythagorean triples.
12, 16 and 20 are a
Pythagorean Triple.
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