MathDB

19

Part of 2019 India PRMO

Problems(2)

Geometry Problem

Source:

8/11/2019
Let ABAB be a diameter of a circle and let CC be a point on the segement ABAB such that AC:CB=6:7AC : CB = 6 : 7. Let DD be a point on the circle such that DCDC is perpendicular to ABAB. Let DEDE be the diameter through DD. If [XYZ][XYZ] denotes the area of the triangle XYZXYZ, find [ABD]/[CDE][ABD]/[CDE] to the nearest integer.
geometry
Easy Geometry

Source: PRMO Leg 2 P19

8/25/2019
If 1515 and 99 are lengths of two medians of a triangle, what is the maximum possible area of the triangle to the nearest integer ?
geometryPRMO