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Tyrone bicycles $12\,\text{kilometers}$ west to get from his house to school. After school, he bicycles $16\,\text{kilometers}$ north to his friend Colton's house. How far is Tyrone's house from Colton's house, measured in a straight line? $\newline$ $\_\_\_\_\_$ kilometers

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Pythagorean theorem: word problems

Full solution

Q. Tyrone bicycles

12\,\text{kilometers}

west to get from his house to school. After school, he bicycles

16\,\text{kilometers}

north to his friend Colton's house. How far is Tyrone's house from Colton's house, measured in a straight line?

\newline

\_\_\_\_\_

kilometers

Identify Problem as Triangle: Identify the problem as a right triangle problem where Tyrone's movements west and north are the legs of the triangle, and the distance from his house to Colton's house is the hypotenuse.
Apply Pythagorean Theorem: Apply the Pythagorean Theorem to find the hypotenuse, which represents the straight-line distance from Tyrone's house to Colton's house.
Calculate Distance: Calculate the square root of $400$ to find the value of $x$ , which is the distance in kilometers.

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