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Setler [38]
3 years ago
11

Smithville is 30 miles due south of Jonestown, and Brighton is 72 miles due east of Smithville. What is the distance from Jonest

own to Brighton in miles?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer: 78 miles

Step-by-step explanation:

Hi, since the distances form a right triangle ( see attachment) we have to apply the Pythagorean theorem:

c2 = a2 +b2

Where c is the hypotenuse (the longest side) and a and b are the other two sides of the triangle.

In this case the hypotenuse is the distance from Jonestown to Brighton (x)

Replacing with the values given:

x2 = 30^2 + 72 ^2

x2 = 900+5184

x2=6084

x = √6084

x = 78 miles

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