Answer:
The Value of x = 43.2
Step-by-step explanation:
Explanation:-
The conditions of similar two triangles
- same shape , but not necessarily the same size
- corresponding angles are equal
- corresponding sides are in the same ratio
- [tex]\frac{CD}{GF} =\frac{DE}{GE} = \frac{CE}{FE}[/tex]
In ΔCDE ~ ΔFGE
Given diagram
ΔCDE ~ ΔFGE
corresponding sides are in the same ratio
[tex]\frac{CD}{GF} =\frac{DE}{GE} = \frac{CE}{FE}[/tex]
[tex]\frac{DE}{GE} = \frac{CE}{FE}[/tex]
[tex]\frac{25}{40} = \frac{27}{x}[/tex]
cross multiplication , we get
[tex]25 x = 27 X 40[/tex]
25 x = 1080
[tex]x = \frac{1080}{25} = 43.2[/tex]
Final answer:-
The value of x =43.2
