What is the perimeter of a triangle with corners at $(2 ,5 )$ , $(9 ,2 )$ , and $(3 ,8 )$ ?

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What is the perimeter of a triangle with corners at $(2 ,5 )$ , $(9 ,2 )$ , and $(3 ,8 )$ ?

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Answer 1 · 2018-04-12T04:48:27

$sqrt(58) + sqrt(72) + sqrt(10)$

Explanation:

This requires you to apply the distance formula three times. Recall that the distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is $D = sqrt( (x_2 - x_1)^2 + (y_2 - y_1)^2 )$ .

The distance between $(2, 5)$ and $(9, 2)$ is $D_1 = sqrt( (9 - 2)^2 + (2 - 5)^2 ) = sqrt( 49 + 9) = sqrt(58)$ .

The distance between $(9, 2)$ and $(3, 8)$ is $D_2 = sqrt( (3-9)^2 + (8-2)^2 ) = sqrt(36 + 36) = sqrt(72)$ .

The distance between $(3, 8)$ and $(2, 5)$ is $D_3 = sqrt( (2 - 3)^2 + (5 - 8)^2 ) = sqrt(1 + 9) = sqrt(10)$ .

The perimeter is thus $P = D_1 + D_2 + D_3 = sqrt(58) + sqrt(72) + sqrt(10)$ .

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What is the perimeter of a triangle with corners at $(2 ,5 )$ , $(9 ,2 )$ , and $(3 ,8 )$ ?

1 Answer

Explanation:

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What is the perimeter of a triangle with corners at (2 ,5 )(2 ,5 ), (9 ,2 )(9 ,2 ), and (3 ,8 )(3 ,8 )?

1 Answer

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What is the perimeter of a triangle with corners at $(2 ,5 )$ , $(9 ,2 )$ , and $(3 ,8 )$ ?