The perimeter of an equilateral triangle is 60 centimeters. The length of the altitude of the triangle is XV3 centimeters. What is the value of x? ​

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.

Comparing this with x√3, we find x = 10.

Answer:

X = 25

Step-by-step explanation:

To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.

Perimeter of an equilaterial triangle = 3 * s

S = side length

Perimeter = 150cm

150 = 3s

S = 150 / 3

S = 50cm

The side lengths are 50cm each since they are all equal.

To find x,

We have to divide the triangle equally into two different part.

Check the first attachment for better illustration on how the equilaterial triangle is.

Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.

From the right angle triangle, we can use pythagorean theorem to solve for x

a² = b² + c²

a = 50cm

b = 25cm

c = x√(3)

50² = [x√(3)]² + 25²

2500 = x² * 3 + 625

2500 - 625 = 3x²

1875 = 3x²

X² = 1875 / 3

X² = 625

X = √(625)

X = 25

HOPE THIS HELPS

if so please give me a brainlist

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Directions: On each line, write the term from the word bank that correctly completes each sentence. Some terms will be used more than once.
autotroph(s)
binomial nomenclature
habitat
heterotroph
taxon


1. An organism that obtains energy from other organisms is called
a(n) heterotroph .
2. An organism that converts light energy into usable energy is called
a(n) autotroph .
3. A group of organisms is called a(n) taxonomy .
4. A(n) habitat is a specific environment where an organism lives.
5. Binomial nomenclature is a naming system that gives each living thing a two-word
scientific name.
6. Binomial nomenclature was created more than 300 years ago by scientist Carolus
Linnaeus.
7. Most organisms are adapted to live in a specific habitat .
8. A(n) plant uses light energy to convert carbon dioxide and water
into carbohydrates, or sugars.



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