Question

after school, matt skateboards directly from school to a game store and then from the game store to an ice cream parlor. the game store is 8 miles south of the school and the ice cream parlor is 6 miles east of the game store. what is the straight - line distance between the school and the ice cream parlor? miles

Explanation:

Step1: Identify right - triangle sides

The distance from school to game store (vertical side) $a = 8$ miles and from game store to ice - cream parlor (horizontal side) $b = 6$ miles.

Step2: Apply Pythagorean theorem

The Pythagorean theorem is $c=\sqrt{a^{2}+b^{2}}$, where $c$ is the straight - line distance from school to ice - cream parlor. Substitute $a = 8$ and $b = 6$ into the formula: $c=\sqrt{8^{2}+6^{2}}=\sqrt{64 + 36}=\sqrt{100}$.

Step3: Calculate the value of $c$

$\sqrt{100}=10$.

Answer:

10