Wednesday, January 8, 2014

A right triangle C^=A^+B^ I need to find B I know both C and A ,but not any angles Is it Sqrt (C^ - A^)

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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