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PIMSO 2022 - Mathematics - Grade 10 / Secondary 4 - National Round Question 22

PIMSO Maths · PIMSO 2022 - Mathematics - Grade 10 / Secondary 4 - National Round

Question 22

Consider the figure below (not drawn to scale). O is a point inside equilateral triangle RST such that OA=27, OC=25, and OB=23 are all perpendicular to the sides of RST. Compute for the area of RST. (Leave your answer in surd form.)

Question illustration

Input format: use * for multiplication, pi for π, ^ for powers and sqrt(...) for square roots.