Question

The two triangles are similar what is the value of x?
x=___

Answer 1

5

Explanation:

What we have to know is that when two triangles are similar their sides will always be proportional. So we will create a proportion that goes like this...
`(\Delta1side)/(\Delta1base) =(\Delta2side)/(\Delta2base)` but since it doesn't tell us the exact value of triangle 1. We will have to add 3 and 12 to get 15 which is the base of the first triangle. Now we're ready to write the proportion.

`(4x)/(15)=(3x+1)/(12)`

Now we cross multiply and solve the equation...

`48x=15(3x+1)\\48x=45x+15\\3x=15\\x=5`

So the value of x is 5.