SOLUTION: Find a formula for the length of the altitude to the hypotenuse of a right triangle whose legs have lengths of A and B.

Question 576622: Find a formula for the length of the altitude to the hypotenuse of a right triangle whose legs have lengths of A and B.
Found 2 solutions by rfer, richard1234:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
a^2+b^2=c^2
change to
c^2-a^2=b^2
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Let h be the altitude to the hypotenuse. Using the area for a triangle, we have

.

By the Pythagorean theorem, so

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