Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the triangles that he could have drawn. *

The drawn in the attached figure

see the explanation

Step-by-step explanation:

First case

In the triangle ABC

Let

Applying the law of sines

Find the measure of angle A

substitute the given values

so

Find the measure of angle C

In a right triangle

we know that

----> by complementary angles

therefore

Find the length side c

Applying the law of sines

substitute the given values

therefore

The dimensions of the triangle are

Second case

In the triangle ABC

Let

Applying the law of sines

Find the measure of angle B

substitute the given values

so

using a calculator

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

therefore

Find the length side c

Applying the law of sines

substitute the given values

therefore

The dimensions of the triangle are

see the attached figure to better understand the problem

yes yes yes yes yes yes yes yes yes

what i would say the best answer is a. 40.5