Question

felixs house is due west of lowell and due south of centerville. lowell is 7.6 miles from felixs house and 9.3 miles from centerville. how far is centerville from felixs house, measured in a straight line? if necessary, round to the nearest tenth.
□ miles

Explanation:

Step1: Identify right triangle sides

Felix’s house (F), Lowell (L), Centerville (C) form a right triangle at F. $FL=7.6$, $LC=9.3$, find $FC$.

Step2: Apply Pythagorean theorem

$FC^2 + FL^2 = LC^2$ → $FC^2 = LC^2 - FL^2$

Step3: Calculate $FC^2$

$FC^2 = 9.3^2 - 7.6^2 = 86.49 - 57.76 = 28.73$

Step4: Find $FC$

$FC = \sqrt{28.73} ≈ 5.6$ (rounded to nearest tenth)

Answer:

5.6