Okay .. i have a trig question for some floor plans that im trying to do.

I have a right angle .

/|
/ |
c / | a
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b

I have the lengths of side c and b. Both Being 28ft in length. What is the length of side a?

The way you have drawn it, or tried to draw it, c is the hypotenuse. But that means side b would have to be less than c, contrary to what you are saying.

If the sides that are both 28 feet long are the perpendicular sides, then the third side's length is
sqrt[28^2 + 28^2] = 28 sqrt 2 = 39.60 ft

To solve for the length of side a, we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (in this case side c) is equal to the sum of the squares of the other two sides (b and a).

In this case, we have the length of side b as 28ft and side c as 28ft. To find the length of side a, we can rearrange the Pythagorean theorem equation to solve for a.

c^2 = a^2 + b^2

Substituting the given values, we have:

28^2 = a^2 + 28^2

Simplifying the equation gives:

a^2 = 28^2 - 28^2

a^2 = 784 - 784

a^2 = 0

Taking the square root of both sides yields:

a = sqrt(0)

The square root of 0 is 0, so the length of side a is 0. However, this doesn't seem to be correct based on the given information. Therefore, there may be an error in the information provided.