MATHEMATICS HIGH SCHOOL

The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.
$The perimeter of an equilateral triangle is 12\/3 cm. Find - 1$

Answers

Answer 1

Answer:

Answer:

Radius - 4

Apothem - 2

Area - $12√(3)$ or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

$12√(3) /3 = 4√(3)$

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

$Small=2√(3) \nHypotenuse = 4√(3) \nLong =6$

By the way, the formula for the area can be either of the two:

$A= (1)/(2) bh\nor\nA = (1)/(2) NAS$

we can easily find the area using the first formula.

$A= (1)/(2) (4√(3) )(6)\nA=12√(3)$

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

Happy April Fool's btw, lol.

Related Questions

What is the equation of a line that is perpendicular to a line with a slope of 2 and passesthrough the point (-2, 0)?
Determine the value of x. DO,k(x, 9) → (–10, –6)
Two angles are supplementary. One angle is 5* less than four times the other find the measures of the angles
G. r. a. p. h. 24x-6y=18.
4x+17/18-13x-2/17x-32+X/3= 7x/12-x+16/36

Classify the triangle based on side lengths 5, 7 and 8.A. right
B. Acute
C. obtuse
D. no triangle can be formed with given side lengths

Answers

$a\leq b\leq c-sides\ of\ a\ triangle\ then\ a+b > c\ and\n\nif\ a^2+b^2=c^2\ then\ triangle\ is\ right\n\nif\ a^2+b^2 > c^2\ then\ triangle\ is\ acute\n\nif\ a^2+b^2 < c^2\ then\ triangle\ is\ obtuse$

$a=5;\ b=7;\ c=8\n\na^2+b^2=5^2+7^2=25+49=74\n\nc^2=8^2=64\n\na^2+b^2 > c^2\n\nThe\ triangle\ is\ acute\ (answer:B.)$

a big cruise ship dropped anchor off the Caribbean island of antigua. the heavy anchor dropped into the water at a rate of 2.5 meters per second after 45 seconds the anchor was 40 meters below the waters surface. from what height above the water surface was the anchor released? how long did it take the anchor the reach the water surface?

Answers

Falling at the rate of 2.5 m/s for 45 seconds, the anchor fell

(2.5 m/s) x (45 s) = 112.5 meters .

If it wound up only 40 meters underwater, then it must have fallen

(112.5 m - 40 m) = 72.5 meters

from its storage position on the big cruise ship,
before it ever reached the water.

Since it was falling at the rate of 2.5 m/s, it took

(72.5 m) / (2.5 m/s) = 29 seconds

to get down to the water surface after it started dropping.

Which best describes this quadrilateral? A.
Opposite sides are parallel.

B.
Only one pair of sides is parallel.

C.
All angles have the same measure.

D.
All sides are a different length.

Answers

Answer:

B. only one pair of sides is parallel

Step-by-step explanation:

B. only one pair of sides is parallel

Help me out! I always mark brainliest. Unless of course, it is incorrect or inadequate. Please include how you did the problem. Thanks!

Answers

If 2 + 5i is a zero, then by the complex conjugate root theorem, we must have its conjugate as a zero to have a polynomial containing real coefficients. Therefore, the zeros are -3, 2 + 5i, and 2 - 5i. We have three zeros so this is a degree 3 polynomial (n = 3).
f(x) has the equation
f(x) = (x+3)(x - (2 + 5i))(x - (2 - 5i))
If we expand this polynomial out, we get the simplest standard form
f(x) = x^3-x^2+17x+87
Therefore the answer to this question is f(x) = x^3-x^2+17x+87

Choose the correct simplification of the expression (3xy4)2(y2)3.

Answers

If you would like to solve (3xy^4)^2 * (y^2)^3, you can do this using the following steps:

(3xy^4)^2 * (y^2)^3 = 9x^2y^8 * y^6 = 9x^2y^14

The correct result would be 9x^2y^14.

Answer:

9x2y14

Step-by-step explanation:

just took the test

how tall are sally and anna if sally is 0.1m taller than anna and their combined height is 3.16 meters

Answers

Anna = a
sally = 0.1 + a
a + s = 3.16
a + 0.1 + a = 3.16
2a = 3.16 - 0.1
2a = 3.06
a = 1.53
s = 0.1 + 1.53
s = 1.63

set up a simple equation with S FOR SALLY AND A FOR ANNA LOOKS LIKE THIS A+(A+.1)=3.16

Other Questions

An education budget went from $800,000 to $900,000. What is the approximate percent increase?

Daltons dad rode 1 kilometer north 2 kilometers west 1 kilometer south and 2 kilometers east. Dalton rode the same path 5 times . How many kilometers farther did dalton ride?

How do you write 35 over 20 As a percentage

for his birthday torin got $50.00 more from his grandparents than from his uncle. his uncle gave him $10.00 less than his cousin torin recieved $135.00 in total how much did he recieve from his cousin