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
ivann1987 [24]
3 years ago
6

The perimeter of a triangle is 47 feet. One side of the triangle is one foot longer than the second side. The third side is four

feet longer than the second side. Find the lengths of all three sides (in feet).
Mathematics
2 answers:
liq [111]3 years ago
8 0

Answer:

Step-by-step explanation:

Let x represent the length of one side of the triangle.

The perimeter of a plane figure is the distance around figure. The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

Where a,b and c are the length of each side

One side of the triangle is one foot longer than the second side. This means that the length of the second side is x - 1

The third side is four feet longer than the second side. This means that the length of the third side is

x - 1 + 4

The perimeter of a triangle is 47 feet. This means that

x + x - 1 + x - 1 + 4 = 47

3x + 2 = 47

3x = 47 - 2 = 45

x = 45/3 = 15 feet

The length of the second side is

15 - 1 = 14 feet.

The length of the third side is

15 - 1 + 4 = 18 feet

Ugo [173]3 years ago
6 0

Answer:

The lengths of all three sides (in feet) are = 15, 14, and 18 feet

Step-by-step explanation:

Perimeter of Triangle = 47ft

Let the one side be 'x'

<em>Side 1 = x</em>

One side of the triangle is one foot longer than the second side

<em>Side 2 = x - 1</em>

<em>The third side is four feet longer than the second side</em>

<em>Side 3 = (x - 1) + 4</em>

<em />

<em>Perimeter = sum of all sides</em>

<em>47 = x + (x - 1) + (x - 1) + 4</em>

<em>47 = x + x - 1 + x - 1 + 4</em>

<em>47 = 3x + 2</em>

<em>47 - 2 = 3x</em>

45 = 3x

<u>x = 15</u>

substitute for x in each of the sides

<em>Side 1 = x                   => </em><em>15 feet</em>

<em>Side 2 = x - 1              => 15 - 1 = </em><em>14 feet</em>

<em>Side 3 = (x - 1) + 4      => 14 + 4 = </em><em>18 feet</em>

You might be interested in
What are the terms of the expression 4(3-h)
Katen [24]

Answer:

12-4h

Step-by-step explanation:

4(3-h)=12-4h

7 0
3 years ago
If aa skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point. How high is the ramp?
guapka [62]

The height of the ramp is 9 meter

<u>Solution:</u>

It is given that a skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point.

If we look at the sum, closely we understand that the ramp is a right angled triangle.

Which has a base length of 12 metres and a hypotenuse of 15 metres.

We need to find its height.

To do so we can use the Pythagoras theorem

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition, we get

\text {Hypotenuse}^{2}=\text {height}^{2}+\text { base }^{2}

Since we already know the lengths of the hypotenuse and base we can substitute them in the formula and solve for the height.

Let height of the ramp be denoted by ‘h’

\begin{array}{l}{15^{2}=12^{2}+h^{2}} \\\\ {225=144+h^{2}} \\\\ {225-144=h^{2}} \\\\ {81=h^{2}} \\\\ {h=\sqrt{81}} \\\\ {h=9}\end{array}

Therefore, the height of the ramp is 9 meter

3 0
2 years ago
In circle T, ∠PTQ ≅ ∠RTS.
mario62 [17]

Answer:

4 units

Step-by-step explanation:

just took the test

3 0
3 years ago
Read 2 more answers
Please answer CORRECTLY !!!!!! WILL MARK BRAINLIEST !!!
Feliz [49]

Answer:

5m

and

-8n

Step-by-step explanation:

7m - 2m = 5m

and

-5n - 3n = -8n

Have a great day

7 0
2 years ago
Snowflake the snowman wants to buy new scarves if each scarf cost $4.27 how much did snowflake spend if he buys 5
Korvikt [17]

Answer:

21.35

Step-by-step explanation:

4.27 * 5 i hope this is one of your answers

4 0
3 years ago
Other questions:
  • the length of a rectangular photo frame is 6 in. more than twice its width. its area is 108 in. find the length of the photo fra
    11·1 answer
  • For what values of x is the x^2+2x=24 true?
    5·1 answer
  • Helpp<br> pppppppp<br> ppppppp pppppppppp
    12·2 answers
  • What is 1+89789798798798787897897878978998798789789783687367896784674864987.7987898797797798798789675432134567897653424567897654
    8·2 answers
  • Explain how you can mentally determine whether there is a remainder when 18,450 is divided by 6
    8·1 answer
  • a farmer grows 100 pounds of potatoes. the farmer sells them to a grocer who will devide them in to 5 pound bags and 2 pound bag
    12·2 answers
  • Can someone solve this for me?
    11·1 answer
  • The University of Florida is interested in determining if there is a difference in the proportion of male students that work ver
    8·1 answer
  • What is the square root
    7·1 answer
  • Determine the equation of the line given by the graph.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!