Question

What’s the length of segment TU

Answer 1

we have the same problem hahahah

Answer 2

The missing length of segment TU in triangle STU, given that triangle STU is similar to triangle SVW, is approximately 26.67 inches. This is determined by maintaining the constant ratio of the length of each side of triangle STU to the corresponding side of triangle SVW.

To find the missing length of segment TU, we can use the property of similar triangles. Since triangle STU is similar to triangle SVW, we can set up a proportion using the corresponding sides of the two triangles.

Let x be the length of TU. Then, the proportion based on the sides is as follows:

`(S T)/(S V)=(T U)/(W W)`

Substitute the given values:

`(12)/(18)=(x)/(40)`

Now, cross-multiply:

`\begin{aligned}& 12 * 40=18 * x \\& 480=18 x\end{aligned}`

Now, solve for

`\begin{aligned}& x=(480)/(18) \\& x=26 . \overline{6}\end{aligned}`

So, the missing length of segment TU is approximately 26.67 inches.