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notsponge [240]
2 years ago
10

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?

Mathematics
2 answers:
Fynjy0 [20]2 years ago
8 0

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

NikAS [45]2 years ago
4 0

Answer:

c2=10

Step-by-step explanation:

8^2+6^2=c2

64+36=120

c2=square root of 120..which is 10

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