Help please!!!!!! How does proving theorems extend understanding of Geometry?
1 answer:
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The length of one side is 12√3.
We know that the area of a triangle is given by the formula:
A=1/2(b)(h)
We can substitute the area in:
108√3 = 1/2(b)(h)
Let b be the side of the equilateral triangle. To find the height, we will use the Pythagorean theorem. We know that the height bisects the base, so we will call that leg of the right triangle formed (1/2b). Since the triangle is equilateral, we will call the hypotenuse b as well. We now have:
We will now substitute this in the formula for area we had above:
108√3=(1/2)(b)(√3/2b)
108√3=√3/4b²
Multiply both sides by 4:
(108√3)×4=(√3/4b²)×4
432√3=√3b²
Divide both sides by √3:
432√3/√3 = √3b²/√3
432=b²
Take the square root of both sides:
√432=√b²
Simplifying the radical, we have 12√3.
We know that the area of a triangle is given by the formula:
A=1/2(b)(h)
We can substitute the area in:
108√3 = 1/2(b)(h)
Let b be the side of the equilateral triangle. To find the height, we will use the Pythagorean theorem. We know that the height bisects the base, so we will call that leg of the right triangle formed (1/2b). Since the triangle is equilateral, we will call the hypotenuse b as well. We now have:
We will now substitute this in the formula for area we had above:
108√3=(1/2)(b)(√3/2b)
108√3=√3/4b²
Multiply both sides by 4:
(108√3)×4=(√3/4b²)×4
432√3=√3b²
Divide both sides by √3:
432√3/√3 = √3b²/√3
432=b²
Take the square root of both sides:
√432=√b²
Simplifying the radical, we have 12√3.
Answer:
the answer is 144 folders
Step-by-step explanation:
you have to convert the ft of the file cabinet to inches. so the cabinet is 12 in wide, 36 in deep and 36 in tall. the volume of it is 15,552 cu in. each folder is 108 cu in. divide 15,552 by 108 = 144 folders can fit in the cabinet. sorry my pic is messy.
