Answer:
I want to show you how to do this as well, the formula you are working with is a^2+b^2=c^2
Step-by-step explanation:
1.) 8^2+b^2=12^2
64+b^2=144
subtract 64 from both sides
b^2=80
take the square root of 80 and you get
b= 8.9
if you need more help on this let me know, I am going to list the other answers now because to do it all and show work on here is a lot of typing, all of which I will do if you do not understand the first example. Also the c value can ONLY BE THE HYPOTENUSE VALUE. The hypotenuse is the longest side of the triangle. For example, 12 would be the C value on number one and in number two it would be 15.
2.) 14.5
3.) 10.3
4.) 18.8
5.) 8
6.) 15
Let 
be the line given by the vector equation
.
First, we use the director vectors of the lines L1 and L2 to get the
vector equation of the plane containing them, which we denote by 
. This is,
We observe that 
. Therefore, the vector equation of defines a plane and 
is a normal vector to 
Finally, the vector equation for the wanted plane, which we denote by 
, is
Thus, if 
, then 
and since is parallel to , then it is perpendicular to .
