Question

A man travels 2 miles, turns left and travels 3 miles, turn left again and travel 6 miles. howfar is he from the starting point?

Answer 1

he is travel 3 miles left hand side

Answer 2

Answer:

Step-by-step explanation:

Concept:

The Pythagorean Theorem states that the hypotenuse, or side opposite the right angle, of a right triangle, which is represented by the square, is equal to the sum of the squares on the legs of the triangle (or, in popular algebraic notation,  $c^{2}$ = $a^{2}$ + $b^{2}$ ).

Given:

A man travels 2 miles, turns left and travels 3 miles, turn left again and travel 6 miles

Find:

How far is he from the starting point?

Solution:
The path traveled is the same as:

2 miles north, then 3 miles west, then 6 miles south.

So, the total miles in the north-south direction = 4 miles, and the total distance in the west direction = 3 miles.

This path makes a right triangle.

Since this is a right triangle, we will use the Pythagorean Theorem to find the hypotenuse (or diagonal).

So, let a = one side (4 miles) and let b = the other side (3 miles) of the right triangle. And, let c = the hypotenuse (or diagonal).

The Pythagorean Theorem is:

$c^{2}$= $a^{2}$+ $b^{2}$.

So, c = $\sqrt{a^{2} + b^{2} }$

And we have:

c = $\sqrt{4^{2} + 3^{2} }$

  = $\sqrt{16 + 9 }$ = $\sqrt{25}$

  = 5

Hence he travelled 5 miles from the starting point.

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