To find the value of y, we can use the fact that triangle URW is similar to triangle VWT.
In triangle URW, we know that the side lengths are 12 and 15.9, and in triangle VWT, we are given that one side length is 3y.
Since triangle URW is similar to triangle VWT, we can set up a proportion to find the value of y:
12/15.9 = 3y/11
Cross-multiplying, we get:
12 * 11 = 15.9 * 3y
132 = 47.7y
Dividing both sides by 47.7, we find:
y = 132/47.7 ≈ 2.77
Therefore, the value of y is approximately 2.77. However, none of the answer choices provided match this value.
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 value of y?
(1 point)
Responses
15.9
15.9
11
11
5.3
5.3
3.7
3.7
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1 answer