Go Geometry Education

Problem 32. Triangle, Cevian, Incircles. Level: High School, SAT Prep, College geometry

Point D is taken on side AC of triangle ABC, the incircle E of triangle ABC touches AC at H, the incircle F of triangle ABD touches BD at L, and the incircle G of triangle BDC touches BD at K. Prove that DH = KL.
A cevian (BD) is a line segment which joins a vertex of a triangle with a point on the opposite side (or its extension).


Triangle, Cevian, Incircles


Mind Map: George Pólya's 1945 book, "How to Solve It"

George Pólya's 1945 book "How to Solve It, A new aspect of Mathematical Method", is a book describing methods of problem solving. It suggests the following steps when solving a mathematical problem: (1) First, you have to understand the problem. (2) After understanding, then make a plan. (3) Carry out the plan. (4) Look back on your work. How could it be better?
A mind map is a diagram used to visually organize information, knowledge, concepts or ideas.

College Geometry: Mind Map: George Pólya's 1945 book, How to Solve It

Home | Geometry | Search | Problems | Open Problems | 10 Problems | 31-40 | Wolfram Demonstrations Project | Circle Tangent Line | Email | Solution / comment | By Antonio Gutierrez
Last updated: Sep 19, 2014