Question

In ABC, you know that a = 2, b = 3 and mA = 30°. Which option below lists the number of triangles and gives the correct explanation? There is exactly one triangle because b sin A = 0.5 b. There are two triangles because b sin A < a < b. There are no triangles because b sin A < a. There are three triangles because b sin A = 0.5 b and b sin A < a < b.

Answer 1

There is exactly one triangle because b sin A = 0.5 b. Then the correct option is A.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The ratio of the sine of an angle and its opposite side will be constant.

In ABC, you know that a = 2, b = 3 and mA = 30°.

sin A / a = sin B / b = sin C / c = k

Where k is constant.

b sin A = b sin 30

b sin A = 0.5b

There is exactly one triangle because b sin A = 0.5 b.

Then the correct option is A.

More about the triangle link is given below.

brainly.com/question/25813512

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