Question

How do I find the value of x. The answer is 25/7 I just need to show the work.

Answer 1

x =
`(25)/(7)`

Explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

7x - 1 =
`(1)/(2)` × 48 = 24 ( add 1 to both sides )

7x = 25 ( divide both sides by 7 )

x =
`(25)/(7)`

Answer 2

Below.

Explanation:

As the 2 sides are both cut in half by the horizontal line, 7x-1 = 1/2 * the base line, so:

2(7x - 1) = 48

14x - 2 = 48

14x = 50

x = 50/14

= 25/7.