Question

If TU=s and VX=s–38, what is the value of s?

Answer 1

`s = 76`

Explanation:

Given

`TU=s`

`VX = s -38`

See attachment for triangle

Required

Solve for s

From the triangle, we have:

`\triangle UTW` similar to
`\triangle XVW`

Such that

`TW = 2 XW`

`UW = 2 VW`

This implies that:

`TU = 2 VX`

Substitute:
`TU=s` and
`VX = s -38`

`s = 2 * [s - 38]`

`s = 2 s - 76`

Collect like terms

`s - 2 s =- 76`

`-s =- 76`

Divide by -1

`s = 76`