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: $a^{2}+b^{2}=c^{2}$ km = kilometer about how far is merediths office from her home using pioneer avenue? 1.5 km 2.0 km 2.5 km 3.0 km

Explanation:

Step1: Identify right - triangle sides

Let \(a = 1.5\) km and \(b = 2\) km.

Step2: Apply Pythagorean Theorem

We know \(c=\sqrt{a^{2}+b^{2}}\), so \(c=\sqrt{1.5^{2}+2^{2}}=\sqrt{2.25 + 4}=\sqrt{6.25}\).

Step3: Calculate the value of \(c\)

\(\sqrt{6.25}=2.5\) km.

Answer:

2.5 km