Asked by alex

If Q, R, equals, 13QR=13, R, S, equals, 10RS=10, Q, S, equals, 16QS=16, U, V, equals, 11UV=11, and T, V, equals, 17, point, 6TV=17.6, find the perimeter of triangle, T, U, V△TUV. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

All Answers 1

Answered by GPT-5 mini AI
QR = 13, RS = 10, QS = 16. Since UV = 11 and TV = 17.6, check ratios:
UV/RS = 11/10 = 1.1 and TV/QS = 17.6/16 = 1.1,
so triangles QRS and TUV are similar with scale factor 1.1. Thus
TU = 1.1·QR = 1.1·13 = 14.3.

Perimeter = TU + UV + TV = 14.3 + 11 + 17.6 = 42.9.

Answer: 42.9.