The perimeter of the triangle with those given lengths is
Answer:
Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.
Step-by-step explanation:
1: Assuming this line is linear, the first thing to do is find the slope.
The slope formula is

, so in this case, it is

, which comes to

. Then, use your slope and one of the points given to write the point-slope formula of the linear equation, and then written in standard form:
y=

x-

.
2. Use the same process as in question 1 to find:
y=-7x+11
Are we allowed to see the diagram or not?
11 * 30 = 330
Answer is 330 squared cm's