Question

semester a
mara ran 3 km north and then 4 km east. she will finish her run by running directly home. what was the total distance of her run?
5 km
12 km
7 km
14 km

Explanation:

Step1: Find the distance of the direct run home (hypotenuse)

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 3\) and \(b = 4\).
$$3^{2}+4^{2}=x^{2}$$
$$9 + 16=x^{2}$$
$$25=x^{2}$$
$$x = 5$$

Step2: Calculate the total distance

Add the three sides: \(3+4 + 5\).
$$3+4+5=12$$

Answer:

12 km