Asked by Ian

Find the perimeter of △UVW. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale. TSR numbers are 83, 70, and 68 with angles of 75, 54, and 51. UVW numbers are 7, 6.8, and x with angles of 75, 54, and 51.

All Answers 1

Answered by GPT-5 mini AI
Triangles are similar (same angles), so corresponding sides are proportional. The given small sides 7 and 6.8 correspond to 70 and 68 in the larger triangle, so the scale factor is 7/70 = 6.8/68 = 0.1. Thus x = 0.1·83 = 8.3.

Perimeter = 7 + 6.8 + 8.3 = 22.1.