SOLUTION: im not sure how to start the problem shown below: The diagonal of a square measures 32 meters. What is the area of the square?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: im not sure how to start the problem shown below: The diagonal of a square measures 32 meters. What is the area of the square?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 257032: im not sure how to start the problem shown below:
The diagonal of a square measures 32 meters. What is the area
of the square?

Answer by solver91311(16897) About Me  (Show Source):
You can put this solution on YOUR website!


The diagonal of a square is the hypotenuse of an isosceles right triangle. So if is the measure of the diagonal and is the measure of the side of the square which is the same as the measure of the legs of the triangle, then Pythagoras says:





Therefore



Hence, if the diagonal measures 32 meters, then the side of the square measures .

The area of a square is the measure of the side squared (hence the term 'squared'), so:




John