The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
<h3>How to determine the possible length of the third side?</h3>
To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
Read more about Triangle inequality theorem at:
brainly.com/question/2403556
Answer:
x = 53
Step-by-step explanation:
angle 3 + angle 8 = 180 because of linear pair
66 + 2x + 8 = 180
74 + 2x = 180
2x = 180 - 74
2x = 106
x = 106/2
x = 53
An isosceles triangle is one where two sides are equal to each other. The third side is of a different length.
At first glance, choice A looks like the answer because we have two sides that are the same length (the sides of length 1). However, this triangle is not possible because 1+1 = 2 which is less then 3. For a triangle to be possible, adding up two sides must be larger than the third side. I'm using the triangle inequality theorem here.
This works for choice D since 6+6 = 12 which is greater than 5. Also 5+6 = 11 which is greater than 6. So the answer is choice D
Answer:
60
Step-by-step explanation:
10×2=20÷2=10×2=20 goes for the two top ones
20×2=40÷2=20×2=40 goes for the two bottom ones
40+20=60 is the answer
Hello There!
Since you are solving for C you would need to keep the variable c on one side to be able to determine the answer.
Start of by writing the equation.
3p +7c = p
As explained above move the numbers on the other side.
-3p + p = 7c
7c = -2p
Divide 7 in both sides to isolate the C.
Thus, the answer is ![c = \frac{-2p}{7}](https://tex.z-dn.net/?f=c%20%3D%20%5Cfrac%7B-2p%7D%7B7%7D)