Question

How to find missing length using pythagorean theorem and special right triangles

Answer 1

If you think about it, the distance fomula is the pythagorean theorem. You just use the difference in x and difference in y as the things you square.

Answer 2

As for "specal" right triangles, they are just some known ratios you an use easily.

Answer 3

i dont know what to do with the square root numbers like 2sqrt2, 3sqrt2, and 5sqrt3
and it gives me two other variables

Answer 4

Well, let me show you the simplest example:

\(x^2=4\) So we take the square root of both sides.
\(\sqrt{x^2}=\sqrt{4}\) and for a distance, you only use the primary positive root, so:
\(x=2\)

Now, with the Pythagorean Formula, you might get something more like:

\(a=3\), \(b=4\), \(c=?\) when \(a^2+b^2=c^2\)

So you plug it in:

\(3^2+4^2=c^2\)

\(9+16=c^2\)

\(25=c^2\)

\(\sqrt{25}={c^2}\)

\(5=c\)

And eventially they move to things that don't have an integer root, so the answer might be \(3\sqrt{2}\), which is still fine.

Answer 5

pythagorean theorem
a^2 + b^2 = c^2 where c is the hypotenuse, the longest side, and a and b are the legs
just substitute and do the evaluation

Answer 6

Numbers under roots are just real numbers that you can use. They don't necessarily have a nice, clean stop to them when you take them out from under the root.

Answer 7

i have one square root(ones i listed) and two variables

Answer 8

Without knowing where they are in the diagram or on the triangle, it is hard to say what to do with them.

Answer 9

2 most common special right triangles are 3,4, 5 as used above and 5, 12, 13

Answer 10

the other thing is angles like 45 degrees 30 degrees and 60 degrees

Answer 11

All 30-60-90 have the same rations to the sides:
http://www.themathpage.com/atrig/30-60-90-triangle.htm

There is a similar set of inforation for 45-45-90