187,191 views
10 votes
10 votes
Solve for x

TS = 2x - 6
CE = 3x - 6

Solve for x TS = 2x - 6 CE = 3x - 6-example-1
User Mahmoud
by
2.4k points

1 Answer

14 votes
14 votes

Use midpoint theorem :- The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also 'half of the length of the third side'.

So,

2x - 6 = ½ (3x - 6)

2x - 6 = 3x/2 - 3

2x - 3x/2 = -3 + 6

½ x = 3

x = 3 × 2

x = 6

______

Hope it helps ⚜

User Silvergasp
by
2.8k points