Math Problem Statement
In triangle ABC, let G be the centroid, 0 be the circumcenter, and H be the orthocenter. IfOG=9 and OH = 15, find the length of GH.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Triangles
Centroid
Circumcenter
Orthocenter
Euler Line
Formulas
OG/GH = 2/1
OH = OG + GH
Theorems
Euler Line Theorem
Centroid divides the Euler line in a 2:1 ratio
Suitable Grade Level
Grades 9-12