From her house, Haley could drive due north to get to her parents' house or she could drive due east to get to her grandparents'

Question

3 years ago

7

From her house, Haley could drive due north to get to her parents' house or she could drive due east to get to her grandparents'

house. It is 7 kilometers from Haley's house to her parents' house and a straight-line distance of 9 kilometers from her parents' house to her grandparents' house. How far is Haley from her grandparents' house? If necessary, round to the nearest tenth. Please help me with this phytagareon theorem question please. I would really appreciate it . Please asap

Mathematics

1 answer:

vivado [14] · Answer 1 · 2022-09-01T06:36:01+03:00

Answer:

5.7km

Step-by-step explanation:

-let the drive east be the base of our 'triangle' and the drive north be the height, h.

-The distance from the parents to the grandparents, 9km, forms the hypotenuse.

#Using Pythagorean Theorem, we can find the distance to her grandparents as:

$H^2=h^2+b^2\\\\9^2=7^2+b^2\\\\b^2=81-49\\\\b=\sqrt{32}\\\\=5.657\approx5.7\ km$

Hence, the distance fro Hayley's place to her grandparents is 5.7km