Question

What’s the value of X?

Answer 1

Assuming these triangles are similar, first find the standard ratio between them by dividing the corresponding sides of triangle VUT by RSQ:

`R=(36)/(54) =(2)/(3)`

Now we know that if we multiply any side of triangle RSQ by the ratio (2/3), we can find the corresponding side of triangle VUT. Using this logic, multiply side RQ by our common ratio to find what UT should equal:

`24*(2)/(3) =UT`

`16=UT`

Finally, set up an equation for this side:

`x+5=16`

Solve for x:

`x=11`