Question

From her house, Belle could drive due north to get to her parents' house or she could drive due east to get to her grandparents' house. It is 12 kilometers from Belle's house to her parents' house and a straight-line distance of 13 kilometers from her parents' house to her grandparents' house. How far is Belle from her grandparents' house?

A) 12 kilometers
B) 13 kilometers
C) 25 kilometers
D) 1 kilometer

Answer 1

The distance from Belle's house to her grandparents' house is approximately 17.68 kilometers.

Step-by-step explanation:

To find the distance from Belle's house to her grandparents' house, we can use the Pythagorean theorem since the two distances form a right triangle. The distance from Belle's house to her parents' house is 12 kilometers (one leg of the triangle) and the straight-line distance from her parents' house to her grandparents' house is 13 kilometers (the other leg of the triangle). Using the Pythagorean theorem, we can calculate the distance from Belle's house to her grandparents' house:

c^2 = a^2 + b^2

c^2 = 12^2 + 13^2

c^2 = 144 + 169

c^2 = 313

c = √313

The distance from Belle's house to her grandparents' house is approximately 17.68 kilometers.