Position abc label the triangle on the coordinate plane right LMN with hypotenuse MN 5a units and base LM 3a units

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calculista calculista · Answer 1 · 2020-02-21T05:02:53-05:00

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

we know that

In the right triangle LMN

Applying the Pythagorean Theorem

[tex]MN^2=LM^2+LN^2[/tex]

we have

[tex]MN=5a\ units\\LM=3a\ units[/tex]

substitute

[tex](5a)^2=(3a)^2+LN^2[/tex]

[tex]LN^2=25a^2+-9a^2[/tex]

[tex]LN^2=16a^2[/tex]

[tex]LN=4a\ units[/tex]

The graph in the attached figure

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