SartajW164843 SartajW164843
  • 03-11-2022
  • Mathematics
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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=

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KhmariC678022 KhmariC678022
  • 03-11-2022

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]

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