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Similar triangles: find a missing side

Grade 10 math · Fieldbook Learning

Name ______________________ Date __________

Find the scale factor from the matching sides, then multiply.

  1. Two triangles are similar. In the small one, two matching sides are 20 cm and 10 cm. In the large one, the side matching 20 cm is 50 cm. How long is the side matching 10 cm?
  2. Two triangles are similar. In the small one, two matching sides are 18 cm and 20 cm. In the large one, the side matching 18 cm is 45 cm. How long is the side matching 20 cm?
  3. Two triangles are similar. In the small one, two matching sides are 10 cm and 10 cm. In the large one, the side matching 10 cm is 30 cm. How long is the side matching 10 cm?
  4. Two triangles are similar. In the small one, two matching sides are 16 cm and 18 cm. In the large one, the side matching 16 cm is 32 cm. How long is the side matching 18 cm?
  5. Two triangles are similar. In the small one, two matching sides are 4 cm and 8 cm. In the large one, the side matching 4 cm is 16 cm. How long is the side matching 8 cm?
  6. Two triangles are similar. In the small one, two matching sides are 22 cm and 14 cm. In the large one, the side matching 22 cm is 33 cm. How long is the side matching 14 cm?
  7. Two triangles are similar. In the small one, two matching sides are 16 cm and 20 cm. In the large one, the side matching 16 cm is 24 cm. How long is the side matching 20 cm?
  8. Two triangles are similar. In the small one, two matching sides are 12 cm and 20 cm. In the large one, the side matching 12 cm is 48 cm. How long is the side matching 20 cm?
  9. Two triangles are similar. In the small one, two matching sides are 8 cm and 20 cm. In the large one, the side matching 8 cm is 16 cm. How long is the side matching 20 cm?
  10. Two triangles are similar. In the small one, two matching sides are 18 cm and 14 cm. In the large one, the side matching 18 cm is 36 cm. How long is the side matching 14 cm?
  11. Two triangles are similar. In the small one, two matching sides are 24 cm and 6 cm. In the large one, the side matching 24 cm is 36 cm. How long is the side matching 6 cm?
  12. Two triangles are similar. In the small one, two matching sides are 10 cm and 12 cm. In the large one, the side matching 10 cm is 40 cm. How long is the side matching 12 cm?
  13. Two triangles are similar. In the small one, two matching sides are 14 cm and 22 cm. In the large one, the side matching 14 cm is 42 cm. How long is the side matching 22 cm?
  14. Two triangles are similar. In the small one, two matching sides are 4 cm and 14 cm. In the large one, the side matching 4 cm is 6 cm. How long is the side matching 14 cm?
  15. Two triangles are similar. In the small one, two matching sides are 18 cm and 20 cm. In the large one, the side matching 18 cm is 72 cm. How long is the side matching 20 cm?
  16. Two triangles are similar. In the small one, two matching sides are 16 cm and 10 cm. In the large one, the side matching 16 cm is 24 cm. How long is the side matching 10 cm?
  17. Two triangles are similar. In the small one, two matching sides are 14 cm and 8 cm. In the large one, the side matching 14 cm is 28 cm. How long is the side matching 8 cm?
  18. Two triangles are similar. In the small one, two matching sides are 4 cm and 14 cm. In the large one, the side matching 4 cm is 10 cm. How long is the side matching 14 cm?
  19. Two triangles are similar. In the small one, two matching sides are 8 cm and 12 cm. In the large one, the side matching 8 cm is 24 cm. How long is the side matching 12 cm?
  20. Two triangles are similar. In the small one, two matching sides are 14 cm and 12 cm. In the large one, the side matching 14 cm is 35 cm. How long is the side matching 12 cm?
More free practice: fieldbooklearning.com/ca/practice/grade-10/similar-triangles-find-a-missing-side/

Answer key: Similar triangles: find a missing side

  1. 25 cm
  2. 50 cm
  3. 30 cm
  4. 36 cm
  5. 32 cm
  6. 21 cm
  7. 30 cm
  8. 80 cm
  9. 40 cm
  10. 28 cm
  11. 9 cm
  12. 48 cm
  13. 66 cm
  14. 21 cm
  15. 80 cm
  16. 15 cm
  17. 16 cm
  18. 35 cm
  19. 36 cm
  20. 30 cm