Question

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Use the graph to answer the question.

What is the perimeter of the triangle? Round to the nearest tenth.

Answer 1

Use the distance formula or Pythagorean Theorem to find the length of each of the sides.

(-5, -4) to (2, 6)

d =
`\sqrt{(-5 - 2)^(2) + (-4 - 6)^(2) }`

=
`\sqrt{(- 7)^(2) + (-10)^(2) }`

=
`√(49 + 100)`

=
`√(149)`

(2, 6) to (4, -4)

d =
`\sqrt{(2 - 4)^(2) + (6 - (-4))^(2) }`

=
`\sqrt{(- 2)^(2) + (10)^(2) }`

=
`√(4 + 100)`

=
`√(104)`

= 2
`√(26)`

(-5, -4) to (4, -4)

you can just count the distance between the coordinates: d = 9

Perimeter = (-5, -4) to (2, 6) + (2, 6) to (4, -4) + (-5, -4) to (4, -4)

=
`√(149)` + 2
`√(26)` + 9

Answer:
`√(149)` +
`√(149)` + 9