Question

meredith likes to walk to work. her office and home are both on pioneer avenue, but she sometimes takes different streets for exercise. pythagorean theorem: ( a^{2}+b^{2}=c^{2} ) ( mathrm{km}= ) kilometer about how far is merediths office from her home using pioneer avenue? ( 1.5 mathrm{~km} ) ( 2.0 mathrm{~km} ) ( 2.5 mathrm{~km} ) ( 3.0 mathrm{~km} )

Explanation:

Step1: Apply Pythagorean Theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 2\) km, \(b=1.5\) km.

Step2: Substitute values

$$2^{2}+1.5^{2}=c^{2}$$
$$4 + 2.25=c^{2}$$
$$c^{2}=6.25$$

Step3: Solve for \(c\)

$$c=\sqrt{6.25}$$
$$c = 2.5$$

Answer:

C. \(2.5\) km