MathDB
Geometry / Median / Angle Bisector

Source:

August 11, 2019
geometrymedianangle bisector

Problem Statement

In a triangle ABCABC, the median ADAD (with DD on BCBC) and the angle bisector BEBE (with EE on ACAC) are perpedicular to each other. If AD=7AD = 7 and BE=9BE = 9, find the integer nearest to the area of triangle ABCABC.