JadenceW721361 JadenceW721361

03-11-2022
Mathematics

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A triangle has vertices on a coordinate grid at D(-5, -2), E(-5,4), andF(-1,4). What is the length, in units, of DE?

A triangle has vertices on a coordinate grid at D5 2 E54 andF14 What is the length in units of DE class=

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KambrieW342592 KambrieW342592

03-11-2022

To find the length of DE,

Here D = (-5,-2) and E = (-5,4).

Hence the distance is given by

[tex]DE=\sqrt[]{(-5+5)^2+(4+2)^2}[/tex]

On simplifying,

[tex]\begin{gathered} DE=\sqrt[]{6^2} \\ DE=6 \end{gathered}[/tex]

Hence the length of DE is 6 units

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