Question

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Feature
Triangle Diagram

In triangle upper R upper S upper T, U is the midpoint of modifying above upper R upper S with bar, V is the midpoint of modifying above upper S upper T with bar, and W is the midpoint of Segment TR.

triangle
Angle R is the bottom left, angle T is the bottom right, and angle S is the top. Inside is another equilateral triangle facing down. Angle U is on the left, angle V is on the right, and angle W is the bottom. This forms four triangles within the larger triangle. Triangle URW has side lengths 12 and 15.9. Triangle VWT has side lengths 3y and 11. Triangle SUV has side lengths blank and 2x.

Question
Multiple Choice

Use the Triangle diagram to answer the question.
What is the length of Segment UW?
(1 point)
Responses

11
11

6
6

7.95
7.95

22
22
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Answer 1

To find the length of segment UW, we need to consider triangle URW. We are given that UR has a length of 12 and RW has a length of 15.9.

Using the information that U is the midpoint of RS and W is the midpoint of TR, we can conclude that the length of UW is half of the length of RT.

Since RW is the longer side of triangle URW, we can conclude that RT = 2 * RW = 2 * 15.9 = 31.8.

Therefore, the length of UW is half of 31.8, which is 31.8 / 2 = 15.9.

So the correct answer is 15.9.