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IKMC 2027 - Grades 9-10 - Self-study SET 8 - Thematic Batch 3 Question 27

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 8 - Thematic Batch 3

Question 27

Triangle ABC is isosceles at B, with altitudes AH and CP. Given AC=2 HP, what is ∠ABC?

Original options (preserved):
A. 30°
B. 45°
C. 60°
D. 75°
E. 90°

Editorial note: Consider altitude feet on side extensions as well as on the side segments; state which conditions make an angle unique. The rubric is editorial.

Question illustration