An equilateral triangle has a perimeter of 9x^2 + 27x units. Write an expression that represents the perimeter in terms of each side length in units.

c

c

c

c

c

c

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cc

c

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

parallel lines have the same slope. so if the green line has a slope of -4, the slope of the red line is also -4.