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
ch4aika [34]
2 years ago
7

5,5,3 Is this a triangle? Explain.

Mathematics
1 answer:
Vlad1618 [11]2 years ago
4 0

Problem 1

Answer: <u>Yes</u> a triangle can be formed with side lengths 5,5,3

--------------------

Explanation:

Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.

5+5 = 10 is larger than 3

5+3 = 8 is larger than 5

This shows a triangle is possible. The triangle is isosceles because two sides are the same length.

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

Problem 2

Answer: <u>Yes</u> a triangle can be formed with side lengths 8,8,8

--------------------

Explanation:

This triangle is equilateral because all sides are the same length.

Take any two sides, add them up, and you'll find the sum is larger than the third side.

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

Problem 3

Answer: <u>No</u> a triangle cannot be formed with sides 7,8,15

--------------------

Explanation:

Yes it is true that

8+15 = 23 is larger than 7

7+15 = 22 is larger than 8

but

7+8 = 15 is not larger than 15

So this means a triangle is not possible.

Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.

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

Problem 4

Answer: <u>Yes</u> a triangle is possible with side lengths 5,6,10

--------------------

Explanation:

Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.

  • 5+6 = 11 is larger than 10
  • 6+10 = 16 is larger than 5
  • 5+10 = 15 is larger than 6
You might be interested in
Divide twice the variable p by the product of 5 and q
Law Incorporation [45]

Answer:

Step-by-step explanation:Solution :

Given variable = p

According to the problem given ,

Twice the variable p divided by the

product of 5 and q

= ( 2p )/ ( 5q )

= 2p/5q

5 0
3 years ago
X 2 −3x−10=x, squared, minus, 3, x, minus, 10, equals
Andreyy89

Step-by-step explanation:

my brain couldn't comprehend can u write it down for me real quick like the way it's supposed to be written please

5 0
2 years ago
The ratio of boys to girls in Janice’s classroom is 3:5, and there are a total of 32 students in the class. Using complete sente
AleksAgata [21]
divide and then multiple the numbers!
3 0
2 years ago
People who help me with this is a legen​
Alex Ar [27]

Answer:

deigo

Step-by-step explanation:

both has de same velocity but diego ran more than the other

8 0
3 years ago
Find the point slope equation for the line that passes through the points (2,1) and (-2,5). use the first point in your equation
Delicious77 [7]

Answer:

y - 1 = -(x - 2)

Step-by-step explanation:

y - y1 = m(x - x1)

m = (5-1)/(-2-2) = 4/-4 = -1

Using any one coordinate, construct

y - y1 = m(x - x1)

y - 1 = -1(x - 2)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the
    7·2 answers
  • Rectangle ABCD has a length of 16 centimeters and a width of 8 centimeters. What is the length of diagonal AC? Use Pythagorean t
    12·1 answer
  • Using the order of operations rule, solve the following: 12 ÷ 2 + 4 – 2 × 3 = ?
    9·2 answers
  • Raheem bought 3 pounds of bananas. A how many kilograms did he buy.
    11·1 answer
  • 3 − 24 ÷ 8 + 42 whats the answer
    15·1 answer
  • 1 pts
    12·1 answer
  • .nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
    10·2 answers
  • !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • I will give you 50 if you helped me thanks
    7·2 answers
  • What is the quotient ? StartFraction 7 Superscript negative 6 Over 7 squared EndFraction StartFraction 1 Over 7 Superscript 8 En
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!