Question

How do you find the length of SU in the isosceles trapezoid?

Answer 1

If this is an isosceles trapezoid, the triangles ΔSWV and ΔTWU must be congruent. Then, the corresponding sides are congruent too:

`\begin{gathered} TW\cong SW \\ UW\cong VW \end{gathered}`

From the given information, we can say that:

`UW=3`

Additionally, we know that:

`SU=SW+UW`

Finally, using the values of SW and UW:

`\begin{gathered} SU=1.7+3 \\ \\ \therefore SU=4.7 \end{gathered}`