In the right triangle shown, ac=bc and ab=8

how long are each of the legs?
answer exactly, using a radical if needed

Each leg =

Step-by-step explanation:

Angle C is the right angle, so the side oppsoite of the right angle is the "HYPOTENUSE", which is 8.

THe legs are AC and BC, which are x each.

Using pythagorean theorem, we can solve for x (length of each leg).

Pythagorean theorem = Leg^2 + Leg^2 = Hypotenuse^2

So we can write:

Simplifying and solving for x:

We need to keep an exact answer (with radicals), so we need to simplify this using the two rules of radicals below:

Now, lets solve for x:

This is the exact answer. Each leg length.

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step-by-step explanation: