71. the expression 14x 3 represents the perimeter of the triangle. what is the length of the third side? 3x 2 7x - 4

Mathematics

1 answer:

Alex1 year ago

4 0

The Length of third side of the triangle is 4x +5

What is the Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

How to determine the length of the third side of the Triangle?

The given parameters are:

Length of the first side = 3x+2

Length of the second side =7x-4

Perimeter of the triangle =14x+3

Now, The perimeter is the sum of the sides of lengths

So, we have

Perimeter = sum of the sides of lengths

According to the question:

14x+3 =3x+2 +7x -4 + third side

Evaluate the like terms

14x-10x = -2 -3

third side = 4x + 5

Hence, The length of the third side of the triangle is 4x+5

Learn more about of perimeter of the triangle

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Find the slope of the line that goes through the given points (8,5) (6,7)

vazorg [7]

To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)

Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1

So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.

I've added a pic of the line with both points under the answer.

Hope this Helps! :)