×

# A geometry problem

In a triangle ABC, H is the orthocenter (see the figure below). Lines DEF and GJK are perpendicular at H so that G and F are on AB , D and K on BC, E and J on AC. Prove that the circumcircles of triangles EHJ, FHG, and DHK meet at a point P.

Note by Neel Khare
11 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

Staff - 11 months ago

He has solved. He is just posting it as a question and not because he was not able to solve.

- 10 months, 3 weeks ago

thanks @Rohit Camfar

- 10 months, 3 weeks ago

I think ceva's theorem should help.

- 10 months, 3 weeks ago

explain the relevance of your statement to this problem

- 10 months, 3 weeks ago