Question

mandy walking from school to the park and then to her house. the diagram shows the top view of the locations of...
school
1.5 miles
park 2.3 miles mandy’s house
which measurement is closest to the shortest distance in miles from mandy’s school to her house?
a 3.7 miles
b 5.79 miles
c 6.3 miles

Explanation:

Step1: Identify right triangle sides

The vertical side $a=4.5$ miles, horizontal side $b=2.3$ miles.

Step2: Apply Pythagorean theorem

$$c = \sqrt{a^2 + b^2}$$

Step3: Calculate squared side lengths

$a^2 = 4.5^2 = 20.25$, $b^2 = 2.3^2 = 5.29$

Step4: Sum squared lengths

$20.25 + 5.29 = 25.54$

Step5: Compute square root

$c = \sqrt{25.54} \approx 5.79$ miles

Answer:

B. 5.79 miles