Village Kheri is 9 km south of village Lohra, and village Moti is 12 km west of Lohra. What is the straight-line distance between Kheri and Moti?

3 kmCorrect answerYour answer9 kmCorrect answerYour answer12 kmCorrect answerYour answer15 kmCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

From Lohra, one village is due south and the other due west, so the line joining them is the hypotenuse of a right triangle.
Distance $= \sqrt{9^2 + 12^2} = \sqrt{225} = 15$ km.

Worth noting

9 km or 12 km uses only one of the two distances, and 3 km subtracts them; the two villages are on different sides of a right angle, so use Pythagoras.

Concept: Right triangle formed by two places and a common point
Typical timeTypical: 40 s
Your timeYours: —

The rule this testsRelative positions of places

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Ten questions from Direction Sense, at your own pace.

Village Kheri is 9 km south of village Lohra, and village Moti is 12 km west of Lohra. What is the straight-line distance between Kheri and Moti?

Explanation