Question

Find the value of x in the similar triangles. Triangles UVW and STU

uv=5x+11, vw=88, su=18 , st=24

Answer 1

The value of x is 11

Step-by-step explanation:

Given that UVW and STU are similar triangles.

Also, given that
`UV=5x+11`,
`VW=88`,
`SU=18` and
`ST=24`

The value of x:

For similar triangles, their sides will be proportional.

Hence, we have,

`(UV)/(SU)=(VW)/(ST)`

Substituting the values, we get,

`(5 x+11)/(18)=(88)/(24)`

Let us multiply both sides by 18, we get,

`5 x+11=(88(18))/(24)`

Multiplying the terms in the numerator, we get,

`5 x+11=(1584)/(24)`

Dividing the terms, we have,

`5 x+11=66`

Subtracting both sides by 11, we get,

`5 x=55`

Dividing both sides by 5, we have,

`x=11`

Hence, the value of x is 11