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
MariettaO [177]
3 years ago
12

An equilateral triangle has a perimeter of 48 cm. What is the area?

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

A=64\sqrt{3}\ cm^2

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

P=3b

where

b is the length side of the equilateral triangle

we have

P=48\ cm

substitute

48=3b

solve for b

b=48/3\\b=16\ cm

Find the area

The formula of area applying the law of sines is equal to

A=\frac{1}{2}b^2sin(60^o)

substitute the value of b

A=\frac{1}{2}(16)^2sin(60^o)

sin(60^o)=\frac{\sqrt{3}}{2}

A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})

A=64\sqrt{3}\ cm^2

You might be interested in
If y varies directly as x and y=32 when x=4 find the value of y when x=5
Alex Ar [27]

Answer:

y=40

Step-by-step explanation:

32 divided by 4 equals 8. And 5 times 8 equals 40.

3 0
3 years ago
Can anyone help me out?
Lana71 [14]

Answer:

3y= -42

y= -14

Step-by-step explanation:

3y= -42

-42/3= -14

y= -14

3 0
3 years ago
In the diagram, if KL=10, and MK=2, and JM=6 determine the value of MN. Show your work or explain how you arrived at your answer
kodGreya [7K]

Answer:

6

Step-by-step explanation:

JM is 6 riiite

and JMN should be an equilateral triangle so

4 0
3 years ago
Carlos mixed 4/15 L of chocolate syrup 1/2 L of milk​
mojhsa [17]

Answer:

23/30 L

Step-by-step explanation:

4/15=8/30

1/2=15/30

8+15=23/30

8 0
2 years ago
What is the area of a 4.2 yard square?
SOVA2 [1]

Answer:

37.8 square feet

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the nu
    10·2 answers
  • What is 9 3/10•5 2/3=?
    10·2 answers
  • How to find slope of tangent line at a given point?
    5·1 answer
  • How would i solve this?
    12·1 answer
  • For each mile that Jason runs, Meagan runs 1/4 Mile farther. If Jason ran 6 miles,how far did Megan run ?
    12·1 answer
  • How would I find x when there is a arrow pointing down instead of up<br><br> What does x equal to??
    13·1 answer
  • Please help! Points​ E, D, and H are the midpoints of the sides of ΔTUV. UV=48​, TV=62​, and HD=48. Find HE.
    9·1 answer
  • Answer choices are <br> A) y=6x-11<br> B) y=6x-19/5<br> C) y= 6x -6/5<br> D) y=6x+1
    12·1 answer
  • Type the correct answer in each box use numerals instead of words consider the quadratic equation
    7·1 answer
  • Heeelllpppppppp plzzzzzzzzzzzzz​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!