Worksheets — Set 19

Trigonometry · Right-triangle trigonometry

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Similar triangles: sides 23, 24, and 25. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 22, find BC/EF = ___ 3. Right triangle: opposite=23, hypotenuse=25. sin θ = ___

_See printable PDF for diagram._

Written practice

1. Similar triangles: sides 22, 23, and 24. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 21, find BC/EF = ___ 3. Right triangle: opposite=22, hypotenuse=24. sin θ = ___ 4. Find missing side using tan 45° = ___ 5. Dilation scale factor 3.4000000000000004. Image length? ___ 6. Explain why the triangles are similar. 7. Similar triangles: sides 25, 26, and 27. Scale factor? ___ 8. If ΔABC ~ ΔDEF and AB/DE = 24, find BC/EF = ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Right triangle: opposite=25, hypotenuse=27. sin θ = ___ 2. Dilation scale factor 3.7. Image length? ___ 3. Similar triangles: sides 28, 29, and 30. Scale factor? ___ 4. If ΔABC ~ ΔDEF and AB/DE = 27, find BC/EF = ___ 5. Right triangle: opposite=28, hypotenuse=30. sin θ = ___ 6. Dilation scale factor 4. Image length? ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Similar triangles: sides 39, 40, and 41. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 38, find BC/EF = ___ 3. Right triangle: opposite=39, hypotenuse=41. sin θ = ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Stretch

1. Similar triangles: sides 47, 48, and 49. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 46, find BC/EF = ___

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Set up proportions from similar triangles