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Using the following diagram below: Find the length of TT. Round youranswer to the nearest tenth.Note: The nearest tenth means you will round to one decimal place. YouMust Show Your Work.IPoints T, T', and 7" are shown.T"T'T

Using the following diagram below Find the length of TT Round youranswer to the nearest tenthNote The nearest tenth means you will round to one decimal place Yo class=

Respuesta :

Let point T the origin

so

The coordinates of point T are (0,0)

therefore

The coordinates of point T' are (-2,1)

Find out the distance TT'

Applying the formula to calculate the distance between two points

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

substitute given coordinates

[tex]\begin{gathered} TT^{\prime}=\sqrt{(1-0)^2+(-2-0)^2} \\ TT^{\prime}=\sqrt{1^2+-2^2} \\ TT^{\prime}=\sqrt{5} \\ TT^{\prime}=2.2\text{ units} \end{gathered}[/tex]

The answer is TT'=2.2 units

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