Please help me with this Phytagareon theorem question asap. help will be appreciated

Question

To get to her parents' house, Elizabeth would have to drive due north 3 kilometers. To get to her grandparents' house, she would have to drive due east 9 kilometers. What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.

Answer 1

c² = 3² + 9²

c² = 9 + 81

c² = 90

c = √90

c = 9.5 km

Answer 2

You're right, this is a Pythagorean Theorem problem, a^2+b^2=c^2, where c is always the hypotenuse. The two legs (a and b) are the distances to each house. To find the distance between the 2 houses (the hypotenuse) would be:

3^2 + 9^2 = c^2

9 + 81 = c^2

90 = c^2

To solve for c take the square root of each side. c = 9.5 km

Answer 3

The distances given are the legs of the right triangle. The straight line distance is the hypotenuse.