Question
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
4 inches, 8 inches
Hint:
- 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
- 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.
- Step 1:
- Find length of third side.
Hence, all numbers between 4 and 12 will be the length of third side.
Related Questions to study
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.
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.
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.
Solve 2x-5<5x-22, then graph the solution
Solve 2x-5<5x-22, then graph the solution
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
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.
Select the three most common text features
Select the three most common text features
Solve 3.5x+19≥1.5x-7
Solve 3.5x+19≥1.5x-7
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 ?
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.
Choose the negative adjectives starting with ' u '
Choose the negative adjectives starting with ' u '
Describe the possible values of x.
Describe the possible values of x.
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.
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
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"
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
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 ?
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.
