Question

3. The third side of a triangle measures (3x-5) cm. If the length of the midline is 14 m,

what is x?
A 8
C. 10
B. 9
D. 11

Answer 1

D. 11

Explanation:

Midsegment theorem:

The length of the midsegment of a triangle is half the length of it's third side.

In this question:

Third side: 3x - 5

Midsegment: 14m

So

`(3x - 5)/(2) = 14`

`3x - 5 = 28`

`3x = 33`

`x = (33)/(3)`

`x = 11`

The correct answer is given by option D.