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
Aleks [24]
3 years ago
10

How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?

Mathematics
1 answer:
nignag [31]3 years ago
3 0

Answer:  A) 0 triangles

============================================================

Explanation:

Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2

For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.

I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.

As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.

In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm

You might be interested in
Which of the following matches a quadrilateral with the listed characteristics below ?
Alex73 [517]

Answer:

square

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which types of quadrilaterals have congruent diagonals?
Svetlanka [38]
The answer to this is rectangle and square
4 0
3 years ago
Read 2 more answers
Plz help me I’ll give brainliest
Digiron [165]

Answer:

5/1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the best description of parallel lines?
hichkok12 [17]
1,3,5,6 are correct answers
3 0
2 years ago
2 over 3 plus 3 over 8
denis-greek [22]

Hello,

The answer to your question is....

2/3 + 3/8

= (2 × 8) + (3 × 3)

          3 × 8

= 25/24 OR 1 1/24

Hope this helps!!!! Sorry I took so long :)


3 0
3 years ago
Other questions:
  • Identify each property <br>a. a(b+c) = ab + c . <br>b: (a+b) + c = a + (b+c)
    15·1 answer
  • You flip 2 coins.what is the probability that one coin will land on heads and one coin will land on tails?createa sample space o
    7·2 answers
  • How to graph in standard form
    7·1 answer
  • Can someone help me please and thank you
    6·1 answer
  • Elena works at the ticket booth of a local play house. On the opening night of the play, tickets are $10 each. The playhouse has
    14·2 answers
  • Fiad the sample variance and standard deviation.<br> 21, 10, 3, 7, 11
    9·1 answer
  • Proving the Parallelogram Side Theorem
    5·1 answer
  • Find the equation of the line with the slope 3 that passes through (2,2)
    8·1 answer
  • What is (5^7)(5^9) as a number to a single<br> power?
    15·2 answers
  • Ryan has 4 cups of grape juice, and Kelsey has 7 cups of lemonade. They want to combine what they have to make punch. How many 1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!