Question

If cde ~ fge find the value of x

Answer 1

x=43.2

Explanation:

25/40 = 27/x

cross multiply.
25*x = 25x
40*27 = 1080

25x = 1080

divide by 25 both sides.
25/25 = 0
1080/25 = 43.2

x = 43.2

Answer 2

The Value of x = 43.2

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
• 
  `(CD)/(GF) =(DE)/(GE) = (CE)/(FE)`

In ΔCDE ~ ΔFGE

Given diagram

ΔCDE ~ ΔFGE

corresponding sides are in the same ratio

`(CD)/(GF) =(DE)/(GE) = (CE)/(FE)`

`(DE)/(GE) = (CE)/(FE)`

`(25)/(40) = (27)/(x)`

cross multiplication , we get

`25 x = 27 X 40`

25 x = 1080

`x = (1080)/(25) = 43.2`

Final answer:-

The value of x =43.2