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
To find the length of segment UW, we can use the fact that U is the midpoint of segment RS and W is the midpoint of segment TR. Since RST is an equilateral triangle, segment RS has the same length as segment RT.
Since the length of segment TR is given as 15.9, the length of segment RS is also 15.9.
Segment UW is the sum of segments UR and RW. Given that segment UR has a length of 12 and segment RW has a length of 15.9/2 = 7.95, we can add these lengths together to find the length of segment UW.
UW = UR + RW = 12 + 7.95 = 19.95
Therefore, the length of segment UW is 19.95.
The correct answer is: 19.95