An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm. what is the area of the triangle, rounded to the nearest tenth? 2.7 cm2 4.1 cm2 16.2 cm2 24.2 cm2

we know that

An equilateral triangle is a regular polygon, because all sides are equal

In a regular polygon the area is equal to

in this problem we have

substitute in the formula

therefore

the answer is

the area of the triangle is

The area of an equilateral triangle rounded to the nearest tenth is 24.2 .

Given the following data:

An equilateral triangle can be defined as a type of triangle or regular polygon that has equal length of sides.

Mathematically, the area of an equilateral triangle is given by this formula:

Substituting the given parameters into the formula, we have;

Area = 24.246 ≈ 24.2 .

Read more on equilateral triangle here: link

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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