3. Consider the diagram below.
580
435
с
b
Determine the values of a, b, and c.

a = 664.5

b = 502.3

c = 767.3

Step-by-step explanation:

Well, there are a couple of theorems that will help us do this problem

1.  Given a right triangle and altitude to the hypotenuse, then the altitude is the mean proportion between the segments of the hypotenuse.  That means in your problem that

2.  A leg of the triangle is the mean proportional between the hypotenuse and the segment adjacent to the leg.  That means in your problem that

See how easy it is if you know the theorems.  

You could check your results by substituting a and  into and see if you get get the square of the hypotenuse

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step-by-step explanation: