SOLUTION: the problem is to determine the length of the unknown side using the Pythagorean theorem I understood everything until the last it says "Solve for c by taking the square root

Algebra ->  Pythagorean-theorem -> SOLUTION: the problem is to determine the length of the unknown side using the Pythagorean theorem I understood everything until the last it says "Solve for c by taking the square root      Log On


   



Question 998005: the problem is to determine the length of the unknown side using the Pythagorean theorem I understood everything until the last it says
"Solve for c by taking the square root of both sides"
what does that mean

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Sides a and b are known.
Side c is unknown.
Sides a and b must be the legs and side c is the hypotenuse. These leg and hypotenuse assumptions are because you did not give the problem description but indicate only that you have two sides of a right triangle.

The way the description was described here, a%5E2%2Bb%5E2=c%5E2.
If you want a finished solution for c, then, "Solve for c by taking the square root of both sides". This is already clear.

c%2Ac=c%5E2 and you want c.

%28something%29%28something%29=a%5E2%2Bb%5E2 and you want to have that something.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
the problem is to determine the length of the unknown side using the Pythagorean theorem I understood everything until the last it says
"Solve for c by taking the square root of both sides"
what does that mean
c%5E2+=+a%5E2+%2B+b%5E2
You want to solve for c, but the equation is now solved for c%5E2, not c
To "get rid" of the square from the highlight_green%28highlight_green%28c%5Ehighlight%28highlight%282%29%29%29%29, you have to apply the INVERSE operation, which is to take the square root. However, whatever you do to one side
of the equation you need to also do to the other side. Therefore, taking the square root of the left side, or sqrt%28c%5E2%29 means that you ALSO have to take the
square root of the right side of the equation, as follows: sqrt%28c%5E2%29+=+sqrt%28a%5E2+%2B+b%5E2%29
The square and the square root cancel each other, so we're left with just "c" on the left side. Now we get: c+=+sqrt%28a%5E2+%2B+b%5E2%29