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
Natali5045456 [20]
2 years ago
15

A triangle has one side that is 5 inches long and another that is 7 inches long. How many different lengths, in inches,are possi

ble for the last side of the triangle?
Mathematics
1 answer:
lubasha [3.4K]2 years ago
3 0

Answer:

2 < c < 12

Step-by-step explanation:

Let the last side of the triangle = c

The sum of any two sides must be greater than the third side. Let's say we have triangle ABC, where a = 5 inches and b = 7 inches

a + b > c (1)

a + c > b (2)

b + c > a (3)

From (1);

a + b > c

7 + 5 > c

c < 12

From (2):

a + c > b

7 + c > 5

7 - 5 < c

c > 2

From (3):

b + c > a

5 + c > 7

c > 7 - 5

c > 2

So the possible lengths of c are: 2 < c < 12

You might be interested in
A function is shown in the table:
Ipatiy [6.2K]

Answer:

The function is increasing from x = -2 to x = -1.

Step-by-step explanation:

The graph starts at -2 and is increasing by 1. it would not be "The function is increasing from x = 0 to x = 1" because it does not start at 0. it starts at -2. even though they both increase by 1, the starting point answer is always the best option.

8 0
2 years ago
Emma, Steve, Maria, and George are comparing the solution of a math assignment problem below.
uranmaximum [27]
Is their a picture or an equation? 
8 0
3 years ago
Read 2 more answers
7/22 rounded to the nearest thousand
saw5 [17]

Answer:

0.318

Step-by-step explanation:

5 0
2 years ago
Helppp plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Lynna [10]

Answer:

Jacob served 16 quarts of juice.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Is there a solution to 2x^2+7x-4=0?
IgorLugansk [536]

Answer:

x= -8    x= 1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • 42 decreased by the product of 12 and a number is 6.
    12·1 answer
  • Which does not show a direct variation between x and y?<br><br>PLZZZ HELP ASAP?
    8·2 answers
  • Which expressions are equivalent to the one below? Check all that apply.
    12·1 answer
  • Question:
    7·1 answer
  • Adam, ben, Cathy and dana share some lollies. First Adam takes 2/3 of the lollies, then Ben takes 1/4 of the remainder, and the
    10·1 answer
  • Estimate the x-values of critical points of f(x) on the interval 0
    13·1 answer
  • Figure ABCD is a trapezoid find the Value of x
    7·2 answers
  • Help help help help help
    7·1 answer
  • Cuanto tiempo pasa de las 9:15 a las 10:30?
    11·1 answer
  • Please hellp I’m really confused
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!