MathDB
ratio of areas (PQA): (ABC) wanted, AB=BC,AQ=QP=PC (Chile 2020 L2 P3)

Source:

February 17, 2021
ratiogeometryequal segmentsisosceles

Problem Statement

Given the isosceles triangle ABCABC with ∣AB∣=∣AC∣=10| AB | = | AC | = 10 and ∣BC∣=15| BC | = 15. Let points PP in BCBC and QQ in ACAC chosen such that ∣AQ∣=∣QP∣=∣PC∣| AQ | = | QP | = | P C |. Calculate the ratio of areas of the triangles (PQA):(ABC)(PQA): (ABC).
Back to ProblemsView on AoPS