Question

Kristen's school is due west of her house and due south of her friend Cooper's house. The

Answer 1

Answer:

Kristen's house is 4.4 miles away from her school

Step-by-step explanation:

Pythagora's Theorem

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

$c^2=a^2+b^2$

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

The situation described in the problem forms a right triangle shown in the image below.

Applying Pythagora's Theorem :

$10^2=9^2+x^2$

Solving for x:

$x^2=10^2-9^2$

$x^2=100-81=19$

$x=\sqrt{19}=4.4$

Kristen's house is 4.4 miles away from her school