Question

Find the missing segment in the attached image

Answer 1

The missing segment is equal to 78

Explanation:

Using the similarity of triangles:

`x=?`

`$(x+26)/(48)=(26)/(12) $`

`12(x+26)=48 \cdot 26`

`12x+312=1248`

`12x+312=1248`

`12x=936`

`x=78`

Answer 2

? = 78

Explanation:

Use similar triangles.

26/12 = (26 + ?)/48

13/6 = (26 + ?)/48

6(26 + ?) = 13 * 48

156 + 6? = 624

6? = 468

? = 78