How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle

There are two unique triangles that can be formed two side lengths of 10 centimeters and one 40º angle.

Step-by-step explanation:

There are theoretically three unique triangles that can be formed with two side lengths of 10 centimeters and one 40º angle. We include a representation of possible triangles:

Case A - Law of Cosine (, , )

(1)

Case B - Laws of Sine and Cosine (, , )

(2)

Case C - Laws of Sine and Cosine (, , )

There are two unique triangles that can be formed two side lengths of 10 centimeters and one 40º angle.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.