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
Helga [31]
3 years ago
13

For what side length(s) is the area of an equilateral triangle equal to 30 cm?? Only enter the number, in centimeters, rounded t

o two decimal places. A cm ►
Mathematics
1 answer:
xenn [34]3 years ago
6 0

Answer: The sides length are 8.32 cm

Step-by-step explanation:

An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.

The area of a triangle is Area = \frac{base * height}{2} where the base is L, the Area is 30 and an unknown height.

To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of \frac{L}{2}, a hypotenuse of L and a the unknown height.  

Then we apply the <em>Pythagoras theorem</em>, this states that <em>in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides</em>, or, hypotenuse = \sqrt{c^{2} + c^{2} } Where one c is \frac{L}{2} and the other is the height.

Then we find one of the c of the equation wich will be the height.

height = \sqrt{hypotenuse^{2}-base^{2} }

height = \sqrt{ L^{2} -\frac{L}{4} ^{2}}\\height = \sqrt{\frac{ 3L^{2}}{4} } \\\\height = \frac{\sqrt{3}L }{2}

Finally, we use the triangle area mentioned before an find the value of L.

30 = \frac{L*\frac{\sqrt{3}L }{2} }{2} \\\\L = \sqrt{\frac{120}{\sqrt{3} } } \\\\L = 8.32 cm

You might be interested in
Please help me need help need help
Minchanka [31]

Answer:

See attachment for answers

Step-by-step explanation:

4 0
3 years ago
5.write a null hypothesis for the following: sunflower seeds planted in a wet soil will grow faster than sunflower seeds planted
Fynjy0 [20]

Null hypothesis is stated as H0: Sunflower seeds planted in well-drained soil will grow faster than sunflower seeds planted in wet soil.

Null hypothesis is defined as the hypothesis that stated that there is no relationship between the two population parameters. It is denoted by H0

To form the null hypothesis we take it as

   Null hypothesis : The sample data provides no evidence to support some claim being made by an individual.

Thus according to the question the null hypothesis can be stated as

 Null hypothesis, h0 : Sunflower seeds planted in well-drained soil will grow faster than sunflower seeds planted in wet soil.

Learn more about null hypothesis here : brainly.com/question/25263462

#SPJ4

6 0
2 years ago
Please Help Me<br> SIMPLIFY
vlada-n [284]

Answer:

x+7/x+6

Step-by-step explanation:

5 0
3 years ago
In the Treasure, Treasure! video game, players gain and lose points by finding and losing treasure. In Level 2, Leslie earned
mixer [17]

Answer:

-22 + 34 = 12

Step-by-step explanation:

simply add both numbers

3 0
3 years ago
Please help ;-; ASAP QnQ
kogti [31]

Is there a attachment for this?

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the sum of -15 and -8 increased by 20?
    8·1 answer
  • Answer this question and tell me what you get
    11·1 answer
  • What are the sine cosine and tangent of theta=7pi/4 radians
    7·2 answers
  • I need help guys get 10 points
    12·1 answer
  • How many U.S. dollars have the same value as 1 euro?
    7·2 answers
  • How do you solve for the x?
    15·1 answer
  • HELPPPPPP ); WILL GIVE BRAINLIST.
    6·1 answer
  • The half-life of carbon-14 is 5,730 years. How many grams of parent material will remain from a 120-gram sample of carbon-14 aft
    12·2 answers
  • Keep gettin this one wrong please help
    8·1 answer
  • HELLPPPP YALLLLLLLLK ASAPPPPP
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!