Question

to get from home to her friend brookes house, christina would have to walk 3 kilometers due north. to get from home to her friend davids house, christina would have to walk 4 kilometers due east. what is the straight - line distance between brookes house and davids house? kilometers

Explanation:

Step1: Identify right - triangle

The paths from home to Brooke's house (3 km north), from home to David's house (4 km east), and the straight - line between Brooke's and David's houses form a right - triangle. The two legs of the right - triangle are 3 km and 4 km.

Step2: Apply Pythagorean theorem

The Pythagorean theorem for a right - triangle with legs $a$ and $b$ and hypotenuse $c$ is $c=\sqrt{a^{2}+b^{2}}$. Here, $a = 3$ and $b = 4$. So $c=\sqrt{3^{2}+4^{2}}=\sqrt{9 + 16}=\sqrt{25}$.

Step3: Calculate the result

$\sqrt{25}=5$.

Answer:

5