Question

20.) A side of a square has length 3. Find the length of its diagonal.
3
3 sqrt(2)
1.5
3 sqrt(3)

Answer 1

3^2 +3^2 = d^2
find d

Answer 2

Since each side is 3, you can cut the square in half to form two right triangles, then use the pythagorean theorem. Therefore,
\[3^2+3^2=c^2\]which gives you \[c^2=18\]and therefore the length of the diagonal is \[\sqrt(18)\]

Answer 3

sqrt(18) =

18 = 3 * 3 * 2 groups of 2 items that are alike come out side the radical sign.

3sqrt(2)