Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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

How Do You Find The Length Of SU In The Isosceles Trapezoid class=

Sagot :

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

[tex]\begin{gathered} TW\cong SW \\ UW\cong VW \end{gathered}[/tex]

From the given information, we can say that:

[tex]UW=3[/tex]

Additionally, we know that:

[tex]SU=SW+UW[/tex]

Finally, using the values of SW and UW:

[tex]\begin{gathered} SU=1.7+3 \\ \\ \therefore SU=4.7 \end{gathered}[/tex]