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X lives 4 kilometers due west of Y's house. Z lives 6 kilometers due north of Y's house and 4 kilometers due west of T's house. What is the straight-line distance in kilometers from X's house to T's house?

X lives 4 kilometers due west of Y's house. Z lives 6 kilometers due north of Y's house and 4 kilometers due west of T's house. What is the straight-line distance in kilometers from X's house to T's house? Correct Answer 10

Apply the Pythagorean Theorem We get: 8² + 6² = x² Simplify: 64 + 36 = x² Simplify: 100 = x² So, either x = 10 or x = - 10 Since the length can't be negative, we know that x = 10

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