Answer:
L = 9.49 units
Step-by-step explanation:
From the 1st point to the 2nd, x changes by 12; from the 1st to the 2nd, y changes (increases) by 6. These results (12 and 6) represent the leg length of a right triangle whose diagonal length we wish to calculate using the Pythagorean Theorem:
12^2 = 144 and 6^2 = 36.
Combining these results in the length of the diagonal:
L = √(144 + 36) = √180 = 13.42 units using the Pythagorean Theorem
Rounding off, we get L = 9.49 units
