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PIMSO 2022 - Mathematics - Grade 9 / Secondary 3 - National Round Question 24

PIMSO Maths · PIMSO 2022 - Mathematics - Grade 9 / Secondary 3 - National Round

Question 24

Consider the figure below. O is a point inside equilateral triangle RST such that OA=17, OB=15, and OC=13 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 sqrt(...) for square roots, pi for π, * for multiplication and / for division.