ACT Math · Geometry

Triangles and similarity practice questions

Each free question on this page comes with its answer and a full explanation.

  1. Question 26Two similar triangles have a ratio of corresponding sides of 3:7. If the smaller triangle has an area of 18, what is the area of…
  2. Question 27In triangle ABC, sides a = 8 and b = 15 include an angle C = 60°. What is the length of side c?
  3. Question 67In triangle ABC, angle A = 40°, angle B = 70°, and side a = 12. Which value is closest to side b?
  4. Question 110In a 30-60-90 triangle, the hypotenuse has length 14. Which value is closest to the length of the longer leg?
  5. Question 113Which set of side lengths could NOT form a triangle?
  6. Question 261In triangle ABC, segment DE is parallel to side BC, with D on AB and E on AC. If AD=4, DB=6, and EC=9, what is AE?
  7. Question 262In a 45-45-90 triangle, each leg has length 8. Which value is closest to the length of the hypotenuse?
  8. Question 268A figure with a perimeter of 24 is enlarged by a scale factor of 2.5. What is the perimeter of the enlarged figure?

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