Question

Luke's house is due west of Toronto and due south of Barrie. Toronto is 16 kilometres from Luke's house and 20 kilometres from Barrie. How far is Barrie from Luke's house, measured in a straight line?

Answer 1

Using the Pythagorean Theorem, it is found that Barrie is 12 miles from Luke's house, in a straight line.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

This problem can be modeled by a right triangle, with $l_1 = 16, l_2 = d, h = 20$, hence:

$h^2 = l_1^2 + l_2^2$

$16^2 + d^2 = 20^2$

$d^2 = 144$

$d = 12$

Barrie is 12 miles from Luke's house, in a straight line.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982