Question: A rescue drone flies directly from point A to point B across a forest. The coordinates of the points are: A(2,3) and B(10, 15). A student claims that the distance the drone travels is exactly 14.4 units. Which of the following best evaluates the student’s claim using the Pythagorean Theorem?
A) The student is correct because the straight-line distance between the points is approximately 14.4 units.
B) The student is incorrect because the distance should be calculated as square root of (8^2+12^2)​=square root of (208)​≈14.2, not 14.4.
C) The student is incorrect because they used subtraction instead of the distance formula.
D) The student is correct because both x and y changed by 12 units, making it a special triangle.
Correct answer: A
Grade: 8 | Topic: Geometry | Difficulty: Medium | Standard: 8. G. B. 7