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a boy starts from point A and walks 4 km due to east B.he then changes direction and walks 3km due to north C.find the distance from C to A​



Answer :

sqdancefan

Answer:

  5 km

Step-by-step explanation:

You want the distance from C to A if C is 4 km east and 3 km north of A.

Triangle

Points A, B, C mark the vertices of a right triangle with legs of 4 km and 3 km. The length of the hypotenuse (C to A) is found using the Pythagorean theorem.

  (AC)² = (AB)² +(BC)² = 4² +3² = 16 +9 = 25

  AC = √25 = 5

The distance from C to A is 5 km.

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Additional comment

Hopefully, you recognize this as a 3-4-5 right triangle, so you know immediately the hypotenuse is 5 km.

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