SOLUTION: The hypotenuse of a right triangle is sqrt 18 units. What are the lengths of the legs of the triangle? How many different answers can you find? Sketch a triangle for each answer. E

Question 929582: The hypotenuse of a right triangle is sqrt 18 units. What are the lengths of the legs of the triangle? How many different answers can you find? Sketch a triangle for each answer. Explain your strategies.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If a & b are the two legs of the triangle, then which turns into

Solve for b to get

There are infinitely many ordered pairs (a,b) that make that equation true. If you sketch the graph of and make sure that , then you'll see all of the possible combos of (a,b). Each combo is a point on the curve of the graph.
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