Question

What is the length of the diagonal AC?

Answer 1

D. (2.1)

A. (3.2)

B. (1.4)

C. (1.4)

Answer 2

Answer:
`√(20)` or 4.4721...

Explanation:

Let's pretend to draw a diagonal line straight from A to C, for a visual reference.

Point A is at (-3, 2)

Point C is at (1, 4)

You could use the distance formula...
`d = √((x_2 - x_1)^2 + (y_2-y_1)^2)`

or you could use Pythagorean Theorem,
`a^(2)+b^2=c^2`, which might seem easier.

The rise of our diagonal line is 2 units, and the run is 4.

2^2=4 and 4^2= 16

4+16=20

`√(20)` = 4.4721...