Question

∆ACB ∼ ∆FED. What is the value of x? Have a wonderful day Select one: a. 5 b. 4 c. 4.2 d. 4.5

Answer 1

Answer:

Option (A)

Step-by-step explanation:

It has been given in the question,

ΔACB ~ ΔFED

Then the corresponding sides of the triangles will be in the same ratio.

$\frac{AC}{FE}=\frac{BC}{DE}=\frac{AB}{FD}$

$\frac{AC}{FE}=\frac{BC}{DE}$

$\frac{(x+4.4)}{23.5}=\frac{9}{22.5}$

x + 4.4 = $\frac{9\times 23.5}{22.5}$

x + 4.4 = 9.4

x = 9.4 - 4.4

x = 5

Therefore, value of x = 5

Option (A) will be the answer.