2021 · Q28
Two isosceles triangles have equal vertical angles and their areas are in the ratio 4.84 ∶ 5.29. What is the ratio of their corresponding heights?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A11 ∶ 23
- B23 ∶ 25
- C22 ∶ 23
- D484 ∶ 529
Explanation
Equal vertical angles make the isosceles triangles similar, so the area ratio equals the square of the ratio of corresponding heights. 4.84/5.29 = (2.2/2.3)², so the height ratio is 2.2 : 2.3 = 22 : 23. Hence option C.