Question

If FE=x+4 and BC=3x+6 what is FE

Answer 1

Are points E and F midpoints on the sides on which they lie?

If so, this theorem can be used?

The segment joining the midpoints of two sides of a triangle has length half that of the third side of the triangle.

That would give:

FE = (1/2)*(BC)

x + 4 = (1/2)* (3x + 6)

Solve for x. ----> This equation is true only if E and F are midpoints of the sides on which they lie on the triangle, @DeeBush96

Answer 2

On this thread, I found that E and F are midpoints.

http://openstudy.com/users/deebush96#/updates/526f4d6de4b0e209601e5ccd

Answer 3

So, solve this for x:

x + 4 = (1/2)* (3x + 6)

Double both sides

2(x + 4) = 2*(1/2)* (3x + 6)

2x + 8 = 3x + 6

3x + 6 = 2x + 8

x = 8 - 6

x = ? @DeeBush96

Answer 4

2

Answer 5

After you get x, substitute it into the formula for FE.

FE=x+4

FE = (?) + 4 = ?

Answer 6

So, FE = ?

Answer 7

is it 2

Answer 8

6

Answer 9

Correct. FE = 6.