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:
[tex]c^2=a^2+b^2[/tex]
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
:
[tex]10^2=9^2+x^2[/tex]
Solving for x:
[tex]x^2=10^2-9^2[/tex]
[tex]x^2=100-81=19[/tex]
[tex]x=\sqrt{19}=4.4[/tex]
Kristen's house is 4.4 miles away from her school
