Question

If cde ~ fge find the value of x

Answer 1

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
• $\frac{CD}{GF} =\frac{DE}{GE} = \frac{CE}{FE}$

In ΔCDE   ~ ΔFGE

Given diagram

ΔCDE   ~ ΔFGE

corresponding sides are in the same ratio

$\frac{CD}{GF} =\frac{DE}{GE} = \frac{CE}{FE}$

  $\frac{DE}{GE} = \frac{CE}{FE}$    

     $\frac{25}{40} = \frac{27}{x}$

cross multiplication , we get

    $25 x = 27 X 40$

    25 x = 1080

     $x = \frac{1080}{25} = 43.2$

Final answer:-

The value of x =43.2