help with gemotry?

Question

i am not that good at math and need big help on something. i don't have my book with me.... i have my semester finale tomorrow. and i have a packet to help me study.. i have to get a good grade on this finale or else i would be grounded. I have an f in that class too.. ok heres what i need.
how to find out if a traingle is a right triangle by using the givin lengths
Here' 1 problem:
lengths: 11 60 61. i am not really sure how to find it. i have an idea but not sure

then the same thing but findong out what kind of triangle it is
find if two lines are parellel: 2x+7y= -28 y=2/7x-7

finding angles to see if lines are parallel.: 2 of the angles(5x+48) (11x-12)
finding distances of a figure
I can't draw it here. but i can discribe it: BD-80 DC-42 AC-30 how long is AB
FInd distance from pointA to BC
BD-80 DC-48 AC60

Answer 1

you find out if a triangle is right by seeing if the sides work with the pythagorean theorem.

you find if 2 lines are parrallel by getting them both into y=mx+b form and if they both have same m (slope) then they are parrallel.

Answer 2

if it were a right triangle, the the square of the largest number should equal the sums of the squares of the other 2 numbers. for problem 1 it is a right triangle. 61^2 = 60^2 + 11^2

2 lines are parallel if they have the same slope (and are not the same line)

2x + 7y = -28 is the same as:
7y = -2x -28 which is the same as:
y = -2/7x - 4
so the slope of this line is -2/7

y=2/7x - 7 is already in slope intercept form
the slope is +2/7

thus these two lines are not parallel.

i can't make sense of the rest of the stuff you wrote, so i'm stopping here.