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:

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