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Gerry used the diagram to compute the distance from Ferris to Butte, going through Dunlap. How much shorter is the distance directly from Ferris to Butte than the distance Gerry found?

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gimymonet gimymonet · Answer 1 · 2017-11-06T02:11:09+01:00

26 miles because you can use Pythagorean Theron to find the direct route is 65 mi and that subtracted from 39+52 (91) would equal 26

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ngallia ngallia · Answer 2 · 2019-10-09T21:29:14+02:00

Answer:

The answer is: 26mi shorter

Step-by-step explanation:

The distance from Ferris to Butte, going through Dunlap is simply found by:

39 mi + 52 mi = 91 mi

Then to calculate the direct route we will use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex] being c the direct route and a & b the distances from Ferris to Dunlap & Dunlap to Butte (in no particular order)

By clearing c in the equation we obtain:

[tex]c=sqrt(a^2+b^2)[/tex]

Finally replacing a and b with values:

[tex]c=sqrt(39^2+52^2)[/tex]

[tex]c=sqrt(1521+2704)[/tex]

[tex]c=sqrt(4225)[/tex]

[tex]c=65[/tex]

This represents the distance of the direct route, which subtracted to the first distance we calculated, results in:

[tex]Difference= 91 mi - 65 mi = 26 mi[/tex]