Question

Please help me on this geometry question

Answer 1

3

Explanation:

Because the triangles are similar

6/4 = (?+6)/(2+4)

6/4 = (?+6)/6

Cross multiply

36 = 4?+24

4?=12

?=3

Answer 2

? = 3

Explanation:

given a line parallel to a side of the triangle and intersecting the other 2 sides, then it divides those sides proportionally , that is

`(?)/(6)` =
`(2)/(4)` ( cross- multiply )

4? = 12 ( divide both sides by 4 )

? = 3