ohn leaves and walks 6 km due south from the store, turns and walks 8 km west to get home.How far would John need to walk in a straight line to get back to the store?
Question
ohn leaves and walks 6 km due south from the store, turns and walks 8 km west to get home.How far would John need to walk in a straight line to get back to the store?
Solution
John's journey forms a right-angled triangle, with the 6 km and 8 km walks as the two shorter sides. To find the straight-line distance (the hypotenuse of the triangle) from John's home back to the store, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Step 1: Square the lengths of the two shorter sides: 6^2 = 36 8^2 = 64
Step 2: Add these two values together: 36 + 64 = 100
Step 3: Take the square root of this sum to find the length of the hypotenuse: sqrt(100) = 10
So, John would need to walk 10 km in a straight line to get back to the store.
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