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40 votes
40 votes
Suppose you use the Pythagorean theorem to find the distance between the ordered pairs shown. When you form the right triangle, what is the length of its LONGEST leg?

Suppose you use the Pythagorean theorem to find the distance between the ordered pairs-example-1
User Worthy Alpaca
by
3.3k points

1 Answer

19 votes
19 votes

Answer:


√(31)

The triangles lengths are: 4, 5, x

Pythagorean theorem:
a^(2) +
b^(2) =
c^(2)

------>
4^(2) +
5^(2) =
x^(2)

----------> 16 + 25 =
x^(2)

--------------> 31 =
x^(2)

------------------> x =
√(31)


√(31) is the hypotenuse, so it's the longest side.

User TAbdiukov
by
2.7k points
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