Question

You start driving north for 12 miles, turn right, and drive east for another 16 miles. How many miles must you travel to return directly back to your starting point?

Answer 1

The driver has to drive 20 miles to come back to the starting point directly

Step-by-step explanation:

The driver has driven in the form of two legs on a right-angled triangle where the vertical side (perpendicular) is 12 miles and the horizontal side (base) is 16 miles.

Now as the driver has to return back to the starting point directly, it will form a right-angled triangle making the direct path a hypotenuse

So,

B = 16

P = 12

H = ?

we have to find the hypotenuse

As the triangle is a right angled triangle, we can use the Pythagoras theorem to find the length of hypotenuse So,

$H^2 = B^2 + P^2\\H^2 = (16)^2 + (12)^2\\H^2 = 256+144\\H^2 = 400$

taking Square root on both sides

$\sqrt{H^2} = \sqrt{400}\\H = 20$

So

The driver has to drive 20 miles to come back to the starting point directly

Keywords: Pythagoras theorem, Right angled triangle

Learn more about Pythagoras theorem at:

• brainly.com/question/750742
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