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Question
If the distance between the points A(–3, –14) and B(a, –5) is 9 units, then a = ______.
Fill in the Blanks
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Solution
If the distance between the points A(–3, –14) and B(a, –5) is 9 units, then a = –3.
Explanation:
Distance AB = `sqrt((a - (-3))^2 + (-5 - (-14))^2)`
= `sqrt[(a + 3)^2 + 9^2)`
= 9
Squaring: (a + 3)2 + 81 = 81
⇒ (a + 3)2 = 0
⇒ a = –3
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