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ELEN [110]
3 years ago
11

Can 5ft 9ft 14ft make a triangle?

Mathematics
2 answers:
Llana [10]3 years ago
8 0

Answer: No, those measurements cannot make a triangle

Why not? Because of the fact that the first two sides (5 and 9) add to 5+9 = 14, which is exactly as long as the third side. I recommend you using a ruler to measure out 5 inches, 9 inches and 14 inches. Mark all three as separate segments on a piece of paper. Then cut out those segments to form strips of paper with the given lengths. Then try to form a triangle. You'll find that it is impossible since the smaller segments combine perfectly to get the longest segment. Instead of a triangle, you'll only have a line segment forming.

As a rule, when you add any two sides of a triangle, they must add to something larger than the third side. The rule more formally is

For any triangle with sides a,b,c, the following three inequalities must hold true

  • a+b > c
  • a+c > b
  • b+c > a

ss7ja [257]3 years ago
6 0

Answer:

Any dimensions can make a triangle, however

this does not make a right angled triangle.

Step-by-step explanation:

Determine the length of the hypotenuse of a right angle triangle with side lengths 5ft and 9ft by using the formula:

a^2+b^2=c^2\\

\sqrt{a^2+b^2} = c

c=10.29

This is not equal to 14ft.

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Classify each pair of numbered angles.
kifflom [539]
Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.

For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.

For the next one, since the angles only share 1 line (and not a side) they can't be any of the above. 
5 0
3 years ago
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A ribbon that is 22 3/4 inches long has to be divided into 7 equal pieces
denis-greek [22]

Answer:

3 1/4 inches

Step-by-step explanation:

22 3/4 ÷ 7

21÷7=3

1 3/4 = 7/4

7/4= 1/4+1/4+1/4+1/4+1/4+1/4+1/4

3 1/4 inches

4 0
3 years ago
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PLSSSSSSS HELP ASAP I IS DEAD
RideAnS [48]

Answer:

The answer is 24.

Step-by-step explanation:

If you multiply 3/4 by 8, you would get 6. Then, subtract 6 from 30, you would get 24. Larry's profit would be only $24.

8 0
3 years ago
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​
hjlf
4x - 3y + 20 = 0....4x - 3y = -21

4x - 3y = -21.....multiply by -2
5x - 6y = -25
----------------
-8x + 6y = 42 (result of multiplying by -2)
5x - 6y = -25
---------------add
-3x = 17
x = -17/3

this system of equations has 1 solution
4 0
3 years ago
5. Solve using any method.<br> y = -x + 8<br> y=x+4
vlada-n [284]

Answer:

<h2>x = 2, y = 6 → (2, 6)</h2>

Step-by-step explanation:

\bold{ELIMINATION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8\\y=x+4&\TEXT{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y=-x+8\\-y=-x-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=-2x+4\qquad\text{add}\ 2x\ \text{to both sides}\\.\qquad2x=4\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}

\bold{SUBSTITUTION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8&(1)\\y=x+4&(2)\end{array}\right\\\\\text{Substitute (1) to (2)}\\\\-x+8=x+4\qquad\text{subtract 8 from both sides}\\-x=x-4\qquad\text{subtract}\ x\ \text{from both sides}\\-x-x=-4\\-2x=-4\qquad\text{divide both sides by (-2)}\\\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}

7 0
3 years ago
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