Question

Find the value of x in the figure:

Answer 1

x = 4

Explanation:

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

DE =
`(1)/(2)` BC , so

x + 1 =
`(1)/(2)` (4x - 6) ← distribute parenthesis

x + 1 = 2x - 3 ( subtract x from both sides )

1 = x - 3 ( add 3 to both sides )

4 = x