Question

The triangles are similar.

What is the value of x?

Enter your answer in the box.

Answer 1

The lengths of corresponding sides of similar triangles are in the same ratio.


`(28)/(7) = (6x + 28)/(25)`


`4 = (2(3x + 14))/(25)`


`2 = (3x + 14)/(25)`


`50 = 3x + 14`


`36 = 3x`


`12 = x`


`x = 12`

Answer 2

The value of x is 12.

Explanation:

It is given that both triangles are similar.

If two triangles are similar, then their corresponding sides are equal.

`(96)/(24)=(28)/(7)=(6x+28)/(25)`

`4=4=(6x+28)/(25)`

`4=(6x+28)/(25)`

Multiply both sides by 25.

`25* 4=6x+28`

`100=6x+28`

Subtract both sides by 28.

`72=6x`

Divide both sides by 6.

`(72)/(6)=x`

`12=x`

Therefore the value of x is 12.