Maths-
General
Easy

Question

Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
4 inches, 8 inches

hintHint:

  • Triangle inequality theorem
  • According to this theorem, in any triangle, sum of two sides is greater than third side,
  • a < b + c
  • b < a + c
  • c < a + b
    • while finding possible lengths of third side use below formula
    • difference of two side < third side < sum of two sides

The correct answer is: Hence, all numbers between 4 and 12 will be the length of third side.


    Answer:
    • Step-by-step explanation: 
    •  Given:

    In triangle, sides are 4 inches and 8 inches.

    a = 4 inches, b = 8 inches.

      • Step 1:
      • Find length of third side.
    difference of two side < third side < sum of two sides

    b - a < c < a + b

    8 – 4 < c < 8 + 4

    4 < c < 12
    Hence, all numbers between 4 and 12 will be the length of third side.

    • Final Answer: 
    Hence, all numbers between 4 and 12 will be the length of third side.

    Related Questions to study

    General
    Maths-

    A triangle has one side of length 9 and another of length 14. Describe the possible lengths of the third side.

    A triangle has one side of length 9 and another of length 14. Describe the possible lengths of the third side.

    Maths-General
    General
    Maths-

    Is the relation forms a linear function ?

    Use the graph to support your answer.

    There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.

    Is the relation forms a linear function ?

    Use the graph to support your answer.

    Maths-General

    There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.

    General
    Maths-

    Solve 2x-5<5x-22, then graph the solution

    Solve 2x-5<5x-22, then graph the solution

    Maths-General
    parallel
    General
    Maths-

    Write the solutions to the given equation.
    Rewrite them as the linear-quadratic system of equations and graph them to solve.
    5 minus 0.5 x squared equals negative 0.5 x plus 2

    Write the solutions to the given equation.
    Rewrite them as the linear-quadratic system of equations and graph them to solve.
    5 minus 0.5 x squared equals negative 0.5 x plus 2

    Maths-General
    General
    Maths-

    Prove the following statement.
    The length of any one median of a triangle is less than half the perimeter of the triangle.

    Prove the following statement.
    The length of any one median of a triangle is less than half the perimeter of the triangle.

    Maths-General
    General
    General

    Select the three most common text features

    Select the three most common text features

    GeneralGeneral
    parallel
    General
    Maths-

    Solve 3.5x+19≥1.5x-7

    Solve 3.5x+19≥1.5x-7

    Maths-General
    General
    Maths-

    Determine whether each graph represents a function ?

    An equation of the form y = f(x) is called a function if there is a unique value of y for every value of x. In other words, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.

    Determine whether each graph represents a function ?

    Maths-General

    An equation of the form y = f(x) is called a function if there is a unique value of y for every value of x. In other words, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.

    General
    General

    Choose the negative adjectives starting with  ' u '

    Choose the negative adjectives starting with  ' u '

    GeneralGeneral
    parallel
    General
    Maths-

    Describe the possible values of x.

    Describe the possible values of x.

    Maths-General
    General
    Maths-

    Write the solutions to the given equation.
    Rewrite them as the linear-quadratic system of equations and graph them to solve.
    x squared plus 1 equals x plus 3

    Write the solutions to the given equation.
    Rewrite them as the linear-quadratic system of equations and graph them to solve.
    x squared plus 1 equals x plus 3

    Maths-General
    General
    Maths-

    Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
    5 inches, 12 inches

    Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
    5 inches, 12 inches

    Maths-General
    parallel
    General
    General

    Identify the common noun in the given sentence
    "The mice are afraid of a cat"

    Identify the common noun in the given sentence
    "The mice are afraid of a cat"

    GeneralGeneral
    General
    Maths-

    How many solutions does the given system of equations have?
    y=x & y=x2

    How many solutions does the given system of equations have?
    y=x & y=x2

    Maths-General
    General
    Maths-

    How can you determine whether the relationship between side length and area is a function?

    If it is a function, say whether it is linear or non linear function ?

    There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.

    How can you determine whether the relationship between side length and area is a function?

    If it is a function, say whether it is linear or non linear function ?

    Maths-General

    There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.