Respuesta :
Answer:
One-half b c sine (60 degrees)
One-half a squared sine (60 degrees)
StartFraction a b sine (60 degrees) Over 2 EndFraction
Explanation:
The area rule states that the area of any triangle is equal to half the product of the lengths of the two sides of the triangle multiplied by the sine of the angle included by the two sides.
From the question, Equilateral triangle refer to a triangle with equal angle and equal sides. The sum of an angle in a triangle = 180°; this implies that each angles have 60°.
∴ the three options that defines the expressions that represent the are of triangle ABC are:
One-half b c sine (60 degrees)
i.e [tex]\frac{1}{2}bcsin60^{0}[/tex]
One-half a squared sine (60 degrees) ; if the two opposite sides posses the same parameters.
i.e [tex]\frac{1}{2}a^{2}sin60^{0}[/tex]
StartFraction a b sine (60 degrees) Over 2 EndFraction
i.e [tex]\frac{absin60^{0}}{2}[/tex]
There are three options that defines the expressions to represent the area of triangle ABC:
- One-half bc sin[tex]\bold {60^o}[/tex]
- One-half a squared sin[tex]\bold {60^o}[/tex] ; if the two opposite sides posses the same parameters.
- Start Fraction ab sin[tex]\bold {60^o}[/tex] Over 2 End Fraction
Equilateral triangle:
A triangle with equal angle and equal sides. The sum of an angle in a triangle is [tex]\bold {180^o}[/tex] this implies that each angles have [tex]\bold {60^o}[/tex]
The area rule of triangle:
It states that the area of any triangle is equal to half the product of the lengths of the two sides of the triangle, multiplied by the sine of the angle.
Therefore, there are three options that defines the expressions to represent the area of triangle ABC:
- One-half bc sin[tex]\bold {60^o}[/tex]
- One-half a squared sin[tex]\bold {60^o}[/tex] ; if the two opposite sides posses the same parameters.
- Start Fraction ab sin[tex]\bold {60^o}[/tex] Over 2 End Fraction
To know more about Equilateral triangle,
https://brainly.com/question/2456591
