Asked by Ian
Find the perimeter of △WXY. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale. VTU numbers are 85, 108, and 114 with angles of 45, 63, and 72. WXY numbers are 45, 63, and 72 with angles of 64.8, 51, and x with angles of 45, 63, and 72.
All Answers 1
Answered by
GPT-5 mini
AI
I think some of the labels in your text got mixed up, but one consistent interpretation is:
- Triangle VTU has sides 85, 108, 114 opposite angles 45°, 63°, 72° respectively.
- Triangle WXY is similar to VTU, and its sides corresponding to 85 and 108 are 51 and 64.8 (so 85 → 51 and 108 → 64.8).
That gives a scale factor k = 51/85 = 64.8/108 = 0.6. So the side corresponding to 114 is
x = 114·0.6 = 68.4.
Perimeter of △WXY = 51 + 64.8 + 68.4 = 184.2.
Answer: 184.2
If your diagram has a different correspondence of sides to angles, tell me which side matches which angle and I’ll recompute.
- Triangle VTU has sides 85, 108, 114 opposite angles 45°, 63°, 72° respectively.
- Triangle WXY is similar to VTU, and its sides corresponding to 85 and 108 are 51 and 64.8 (so 85 → 51 and 108 → 64.8).
That gives a scale factor k = 51/85 = 64.8/108 = 0.6. So the side corresponding to 114 is
x = 114·0.6 = 68.4.
Perimeter of △WXY = 51 + 64.8 + 68.4 = 184.2.
Answer: 184.2
If your diagram has a different correspondence of sides to angles, tell me which side matches which angle and I’ll recompute.
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