Question

Given that ABC ~DEF slove for X

Answer 1

Answer: The correct option is (A) 7.

Step-by-step explanation: Given that the triangles ABC and DEF are similar to each other.

We are given to find the value of x from the figure.

We note from the figure that

in triangles ABC and DEF, AB = 30 units, BC = 42 units, DE = 5 units and EF = ?

Since the two triangles are similar, so their corresponding sides ae proportional.

Therefore, we must have

`(AB)/(DE)=(BC)/(EF)\\\\\\\Rightarrow (30)/(5)=(42)/(x)\\\\\\\Rightarrow 6=(42)/(x)\\\\\Rightarrow x=(42)/(6)\\\\\Rightarrow x=7.`

Thus, the required value of x is 7.

Option (A) is CORRECT.

Answer 2

Similar triangles make proportions of the analogous bits.

`(42)/(30) = (x)/(5)`

`x= (5(42))/(30) = 7`

Choice A