explain why in any triangle the difference of the lengths of any two sides

explain why in any triangle the difference of the lengths of any two sides cannot be greater that the length of the third side.

2 months ago

Solution 1

Guest Guest #3053
2 months ago
Becuase then the 3 lines woul dnot connect
if you draw any 1 line of legnth w
then lets say you draw a line of legnth w/2 and (2/w)-1
then you would have 2 lines that are too short to connect
try it yourself

basically lets say we have sides legnth 3,6,10
10-6 is more than 3
if you draw a line that is 10 legnth and try to draw 1 line at each end, one which is 3 legnth and the other which is 6 legnth, you cannnot connect the 3 and 6 line becuase they are 1 unit too short, if they were 1 unit longer, then the triangle would be a line

📚 Related Questions

Two cyclists leave town at the same time on the same road going in  the same direction. Cyclist a is going 6 miles per hour faster than cyclist b. After 8 hours, cyclist a has traveled three times the distance as cyclist b. Use the equation 24x= 8(x+6) to find how fast cyclist b was traveling.
Solution 1


3 mph

Step-by-step explanation:

Two cyclists leave town at the same time on the same road going in  the same direction.

Cyclist A is going 6 mph faster than cyclist B

Let speed of cyclist B be x mph

Speed of cyclist A be (x+6) mph

Both cyclist leave town at the same time and traveled 8 hours.  

  • Distance covered by cyclist A in 8 hours= 8(x+6)
  • Distance covered by cyclist B in 8 hours= 8x

After 8 hours cyclist A has traveled 3 times the distance as cyclist B

Therefore, 8(x+6) = 3(8x)

8x + 48 = 24x

24x - 8x = 48

       16x = 48

          x = 3 mph

Hence, The speed of cyclist B was 3 mph

Solution 2
/16  /16

one of the congruent angles of an isosceles triangle measures 40 degrees. what measures do the other angles have?
Solution 1
Isosolese triangle has 2 equal angles
3 interior angles of a triangle add upt o 180 so
since 1 of the 2 identical angles are 40 then
subtract 80
the ohter angle is 100

the answer is
A professional basketball team must play a total of 85 came before the playoffs begin. The team has played 3/5 of the scheduled games, if the team plays 10 more games, what is the total number of games they will have played
Solution 1
They will have played a total number of 61 games.

85*3/5 is 51 and then 51+10=61.
What is
Solution 1
Answer: 12


Step 1:
Turn 3 into a fraction.

Step 2:
Multiply across
8 * 3 = 24

2 * 1 = 2

Answer: 24/2

Step 3:

24 divided by 2 = 12

Answer = 12

What is the simplified version of square root 100x^36? A. 10x^18 B. 10x^6 C. 50x^18 D. 50x^6
Solution 1


Nah it’s actually a their wrong

Step-by-step explanation:

Solution 2
Your answer will be C because you just divide by 2
The ratio of boys to girls at a day care center is 5 to 4. which of the following cannot be the total number of children at the center? (A) 27 children (B) 54 children (C) 60 children (D) 72 children please show work
Solution 1
C: 60 children because 60 cannont go into 9 which is the amount of children in the first ratio
Eva spent $48 on a shirt and a pair of pants. The pant cost twice as much as the shirt. How much did each item cost?
Solution 1
Divide 48 by 3 to get the price of the shirt, the take what’s left and that is the pants. $16 shirt, $32 pants
Solution 2
The shirt cost $16 and the pants cost $32.
Briana wants to go to the movies. The price for a student ticket is 2.75 less than the price for the adult’s ticket. If you represent the price of the student ticket using the variable “x”, how would you write the algebraic expression for the adult’s ticket price?
Solution 1
Student ticket =x
Adult ticket= x+2.75
What is
Solution 1
The first step for solving this expression is to reduce the fraction with 2.
3 ×  \frac{1}{4}
Now multiply 3 by the numerator (top of the fraction) to find your final answer.
This means that the correct answer to your question is going to be  \frac{3}{4} ,, or 0.75 in decimal form.
Let me know if you have any further questions.
Solution 2

3* \frac{2}{8}             
3* \frac{1}{4} =  \frac{3}{4}     simplified

Hope I helped!
3(x - 9) = -39 solve and check solution
Solution 1
The answer is x= -4

3(x-9)= -39
divide both sides by 3 
x-9= -13
add 9 to both sides
x= -4

3(-4-9)= -39
-12-27= -39
Solution 2

    +27  +27
/3   /3