SSAT Math Question 606: Answer and Explanation
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Question: 606
17.
The distance between points A and B in the coordinate plane above is
- A. 5
- B. 6
- C. 8
- D. 9
Correct Answer: E
Explanation:
To find the distance between two points, draw a right triangle and use the Pythagorean Theorem. Draw a line straight down from point B and directly right from point A. That point will be (7, 1), which you can label C. The distance from A to C is 6, and the distance from C to B is 8. Use the Pythagorean Theorem to find the missing side: 62 + 82 = c2. Simplify the left side to get 36 + 64 = 100. Take the square root of both sides to get c = 10. The correct answer is (E).