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
Setler79 [48]
3 years ago
5

Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles.

Mathematics
2 answers:
Ratling [72]3 years ago
4 0

Answer: The given side lengths could be used to form A: Unique triangle

Step-by-step explanation: The dimensions given are 4 m, 5.1 m, and 12.5 m.

With three sides already provided, we can deduce a triangle can be formed , and to determine if its a right angled triangle or not, we shall apply the Pythagoras theorem to prove.

The Pythagoras theorem states that the sum of the squares of the two sides equals to the square of the longest side (hypotenuse) in a right angled triangle. In other words, it is expressed as follows;

AC² = AB² + BC²

Where AC is the longest side (hypotenuse) and AB and BC are the other two sides. We can now write it out properly as;

12.5² = 5.1² + 4²

156.25 = 26.01 + 16

156.25 ≠ 42.01

As we can see from the calculations shown, the three dimensions of the triangle does not satisfy the Pythagoras theorem and can not be used to form a right angled triangle.

The given dimensions can only be used to form a unique triangle such that the derived angles would also be unique and once changed would equally change the lengths of the given dimensions.

miv72 [106K]3 years ago
3 0

Answer:

no triangles

Step-by-step explanation:

As we know the basic rule to form a triangle is that the sum of the two sides must be greater than the third one.

Given that:

4 m, 5.1 m, 12.5 m

We have: 4 m + 5.1 m = 9.1 m < 12.5 m

So no triangles can be formed.

You might be interested in
Make a comparison between the government’s roles in a capitalist economic system versus a socialist or communist economic system
Masteriza [31]
Hello!

In a Capitalist Economic System, the government is expected to guarantee the respect to private property, promulgate laws that defend economic freedom, and is an intermediary between the private sector and society. In this economic system, the government is reduced an doesn't intervene in the free market. 

In a Socialist or Communist Economic System, the government redistributes goods and services, takes the means of production (private property) from their owners to put them in service of the working class, promulgate laws that limit economic freedom and heavily intervenes in the market and economy.

Have a nice day! 
8 0
3 years ago
Read 2 more answers
One moving company charges $800 plus $16 per hour. another moving company charges $720 plus $21 per hour. at what number of hour
Veronika [31]
Hour 16; $1056
Hope this helps :)

3 0
3 years ago
What is the slope of the line which passes through (4, 7) and (2, 3)? (5 points)
Basile [38]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 7)

m = \frac{7-3}{4-2} = \frac{4}{2} = 2

3 0
2 years ago
Please help me answer this for a test im having trouble
Dimas [21]

Answer:

x + 1

y = 9

Step-by-step explanation:

In order to solve this question we need to represent "y "in terms of "x" in the first equation, and the plug in the "y" value in the first equation into the second one. Luckily for us in the first equation it already shows what "y" is equal to in terms of "x" (based on the first equation y = -x + 10). Now we just need to plug in the value that we got instead of "y" in the second equation, and so we get....

y = 7x + 2

(plug in the y value and get the following ….)

-x + 10 = 7x + 2

(now just solve the following equation)

-x + 10 + x = 7x + 2 + x

10 = 8x + 2

10 - 2 = 8x + 2 - 2

8 = 8x

8/8 = 8x/8

1 = x

Now that we know the value of "x", all we need to do now is substitute the value of "x" into any of the equations and we will get the value of "y". So we do the following.....

y =  7x + 2

y = 7(1) + 2

y = 7 + 2

y = 9

3 0
3 years ago
Help on this please on 16
timama [110]

Answer:

Step-by-step explanation:B

8 0
2 years ago
Other questions:
  • I’m not sure how to do this I’m confused please help guysssss
    7·2 answers
  • Factor z2 + 17z + 72.
    7·1 answer
  • What are the factors of x2 − 64? Prime (x − 4)(x + 16) (x − 8)(x − 8) (x + 8)(x − 8)
    14·1 answer
  • Deanna's Quiz Scores
    14·1 answer
  • I need help with this
    9·2 answers
  • If David had $10. He shared $3 with Steve, $6 with Anderson. How much money does he have left?
    8·1 answer
  • ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⢻⣿⣿⣿⣿⢻⣿⣿⢻⣿⣿⠀⠀⠀⠀
    14·2 answers
  • A sample of radium has a weight of 1.5 mg and decays
    9·1 answer
  • What is the width of 200 feet and 27 feet
    7·2 answers
  • I WILL GIVE BRAINLIEST ( hurry!1!! :[ )
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!