Question

there is a direct path from gayle's house to the store. due to construction, the direct route is closed and gayle must travel 6 miles east and then 8 miles north in order to get to the store. how long is the direct path from gayle's house to the store?

Answer 1

Answer:

c2=10

Step-by-step explanation:

8^2+6^2=c2

64+36=120

c2=square root of 120..which is 10

Answer 2

Answer:

The direct path is 10 miles long from gayle's house to the store

Step-by-step explanation:

We are given that due to construction, the direct route is closed and gayle must travel 6 miles east and then 8 miles north in order to get to the store.

So, refer the attached figure

So, he travels 6 miles east i.e. AB = 6 miles

Then he travels 8 miles north i.e. BC = 8 miles

So we are supposed to find how long is the direct path from gayle's house to the store i.e.AC

So, to find Ac we will use Pythagoras theorem :

$Hypotenuse^2=Perpendicular^2+Base^2$

$AC^2=AB^2+BC^2$

$AC^2=6^2+8^2$

$AC^2=36+64$

$AC^2=100$

$AC=\sqrt{100}$

$AC=10$

Hence the direct path is 10 miles long from gayle's house to the store