Question

In the diagram below, UV is parallel to RS. If the length of RS is the same as the
length of UT, RT = 14, and UV = 5, find the length of UT. Figures are not
necessarily drawn to scale. State your answer in simplest radical form, if necessary.
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Answer: UT =
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Answer 1

The length of UT is given as 7

Similarity of shapes

Similar shapes are shapes that have the same sides and angles.

Given the following parameters from the figure

• RT = 14
• UV = 5

Taking the ratio of the similar sides

TU/UV = RT/RS
UT/5 = 14/10
10UT = 70
UT = 7

Hence the length of UT is given as 7

Learn more on similar shapes here: https://brainly.com/question/14285697