Answer:
the answers are all bold below
Step-by-step explanation:
Triangle ABC is an equilateral triangle with side lengths labeled a, b, and c.
Triangle A B C is an equilateral triangle. The length of side A B is c, the length of B C is a, and the length of A C is b.
Trigonometric area formula: Area = One-half a b sine (C)
Which expressions represent the area of triangle ABC? Select three options.
a c sine (60 degrees)
One-half b c sine (60 degrees)
One-half a squared sine (60 degrees)
StartFraction a squared b sine (60 degrees) Over 2 EndFraction
StartFraction a b sine (60 degrees) Over 2 EndFraction
The area of a triangle can be represented by the expression, One-half b c sine (60 degrees), StartFraction a squared b sine (60 degrees) Over 2 EndFraction, One-half a squared sine (60 degrees), the correct options are B,C, and D.
A triangle is a polygon with three sides, three angles and three vertices.
Triangle A B C is an equilateral triangle.
The length of side A B is c, the length of B C is a, and the length of A C is b.
The trigonometric formula for a triangle is given by
Area = One-half a b sine (C)
For a equilateral triangle, the measure of the angle is 60°,
And, the sides a = b = c.
The area equation can be written as,
Area = One-half a² sine60°
Area = (1/2) b c sine (60 degrees)
Area = (1/2) a² sine 60°
a b sine (60 degrees) / 2
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