Question

Please help me out! :)

Answer 1

To find the length of a segment you can use the pythagorean theorem: given two points
`A=(x_A,y_B),\ B=(x_B,y_B)` you have

`\overline{AB} = √((x_A-x_B)^2+(y_A-y_B)^2)`

In your case, we have

`\overline{RS} = √((x_R-x_S)^2+(y_R-y_S)^2) = √((0-b)^2+(a-c)^2) = √(b^2+(a-c)^2)`

Note that your exercise seems to suggest the opposite, i.e.

`\overline{RS} = √(b^2+(c-a)^2)`

Don't worry: the two numbers are the same. In fact,
`a-c` and
`c-a` are opposite, and opposite numbers are the same when squared (for example,
`3^2=(-3)^2=9`)

It had to be so after all: we're simply claiming that the distance between R and S or between S and R is the same..how could it be any different?

Answer 2

answer is;

b

explanation

magnitude of two points is given by;

√{(x2-x1)^2+(y1-y2)^2}

for RS we have,

√{(b-0)^2+(c-a)^2}

=√{(b)^2+(c-a)^2}