1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
almond37 [142]
2 years ago
13

Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answe

r. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43. 5 units2. The calculated areas are.
Mathematics
2 answers:
8090 [49]2 years ago
7 0

The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.

<h3>What is the area of a regular polygon?</h3>

The area of the polygon is the product of half of the apothem of the triangle and perimeter.

The area of the polygon = \frac{1}{2} \times h \times p

The side of the triangle is 10 units.

Apothem of an equilateral triangle

s = \frac{\sqrt{3} a}{6}

s= \sqrt{3} \times 10/6

s = 2.88

Here, a is the side of the triangle.

Thus the apothem of the triangle is 2.9 units.

The perimeter of the equilateral triangle is equal to the three times the sides.

Perimeter of the equilateral triangle ,

P = 3(10)

P = 30

Therefore, the perimeter of the equilateral triangle is 30 units.

The area of the equilateral triangle-

The area of the polygon = \frac{1}{2} \times h \times p

A = 1/2 \times 2.9 \times 30

A = 43.5

Thus the area of the equilateral triangle is 43.5 squared units.

Therefore, The calculated areas of both are the same instead of using the different formulas.

Learn more about the apothem;

brainly.com/question/10580427

Lana71 [14]2 years ago
6 0

Answer:

(A) 2.9

(C)30

(A)1/2(2.9)(30)

(D)The same despite using different formulas

Step-by-step explanation:

I did it

You might be interested in
For a function F, what does F(5) represent? (20 points)
svp [43]

Answer:

Answer is  F(5)=11

7 0
3 years ago
Read 2 more answers
Rewrite the sentence with correct punctuation and capitalization.
Ludmilka [50]
Matthew bought his cat, Filmore, at Mr. Macintosh’s pet store in Lincoln, Nebraska. (could do “!” at the end too)
7 0
3 years ago
Your friend says that there are 36 feet in 12 yards is your friend correct? explain your reasoning.
galben [10]

Answer:

Yes

Step-by-step explanation:

1 yard is 3 feet. so 12 yards is 36 by 12*3

7 0
2 years ago
Vanesa earns a base salary of 400
nydimaria [60]

Answer:

Cool

Step-by-step explanation:

7 0
3 years ago
The relationship between 650 and 65
Brrunno [24]

Answer:

The ratio is 10 : 1, or 10 to 1

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • An architect designs a door that is 3.5 feet wide for a house under construction. The contractor reduces the width of the door t
    14·1 answer
  • Alessandra's closet contains shelves that hold 12 short-sleeved shirts and 16 long-sleeved shirts. each shelf holds the same num
    8·1 answer
  • Write the equation of the line given the following. Write the equation in slope-intercept form.
    15·1 answer
  • The volume of a cylinder is 540 pi ft^3 the height is 15 ft. what is the diameter
    11·2 answers
  • What is the square root of 890?
    11·2 answers
  • Halp PLEASEEEEEEE PUHEASE PUHEASEEEEEE
    12·1 answer
  • Help what's 1x1+9x20​
    9·2 answers
  • Multiply.<br><br> (x−5)(3x+6)<br><br> Express the answer in standard form.
    6·2 answers
  • In a school, 50% of students are younger of students younger than 10, 1/2 are 10 years old and 1/10 are older than 10 but younge
    9·1 answer
  • Sketch a graph of the following inequality and the choose the correct description of the graph: x + y - 5 ≥ 0
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!