Question

Megan bikes 6 miles west to get from her apartment to school. After school she bikes 8 miles north to her friend Izaac's house. How far is Megan's apartment from Izaac's house, measured in a straight line.
A. 6 miles
B. 8 miles
C. 10 miles
D. 12 miles

Answer 1

Answer: 10 miles

If you draw what the problem is explaining, you should get a triangle. 2 of the sides should be 6 and 8.

To find the missing side, use the Pythagorean theorem to solve for the missing side.

${a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {6}^{2} = 100 \\ \sqrt{100} = 10$