Question

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

Answer 1

see the explanation

The graph in the attached figure

Explanation:

we know that

In the right triangle LMN

Applying the Pythagorean Theorem

`MN^2=LM^2+LN^2`

we have

`MN=5a\ units\\LM=3a\ units`

substitute

`(5a)^2=(3a)^2+LN^2`

`LN^2=25a^2+-9a^2`

`LN^2=16a^2`

`LN=4a\ units`

The graph in the attached figure