Answer:
2< AC<8
Step-by-step explanation:
For a triangle to exits sum of two sides must always be greater than the the third side
⇒ AC< AB+ BC =5+3=8 in
⇒AC<8 in
Also, the difference of the two sides must be smaller than the length of third side
⇒ AC> | AB-BC| = |5-3| =2
AC> 2 in
therefore, we can say 2< AC<8. Hence, AC can takes 3,4,5,6 values
Answer:
The area of this triangle would be 24.
Step-by-step explanation:
In order to find this, we need to first determine what to use as the base of the triangle. Since when we draw it, the line between G and H is a flat line, it is the easiest to use as a base. Finding the length of the base is easy because we are simply looking for the difference in the x values.
6 - -2 = 8 = base
Now that we have the base, we need to find the height. The height is always the perpendicular line from the 3rd point to the base line. In this case, this would just be the change in y from the other two.
5 - -1 = 6 = height
Now that we have those two distances, we can just use the triangle formula.
A = 1/2bh
A = 1/2(8)(6)
A = 24
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Answer:
x = 5
Step-by-step explanation:
I already answer this on another question you actually made, but here it is again:
To do this, you need to use the Thales theorem.
You can actually apply this theorem and choose two sides of the figure to do it.In this case, I will choose segment LM and MN and look for a ratio with DE and EF like this:
LM/MN = DE/EF
This theorem states that you can stablish a ratio between two segments assuming that you have at least two paralels lines, like DL || EM || FN
Therefore, it's time to replace the values of those segments and solve for X:
LM/MN = DE/EF
14/16 = 6x -9 / 4x + 4
7/8 = 6x - 9 / 4x + 4
7(4x+4) = 8(6x-9)
28x + 28 = 48x - 72
72 + 28 = 48x - 28x
100 = 20x
x = 100/20
x = 5
Read more on Brainly.com - brainly.com/question/13517023#readmore
