- 2

- 0

The following is a challange proposed by our math teacher.

The work is due tomorrow morning.

**1. The problem statement/known data:**ABC is a right triangle. (BAC=90°)

[AH] is an "altitude" (AH_|_BC)

I is the center of [BC]

J is the center of [AH]

Starting from A, lead a perpendicular to (IJ) which intersects (BC). The intersection is F.

(JF) intersects (AB), the intersection is E.

**Prove that (HE) is perpendicular to (AB).**

**2. The attempt at a solution**I have tried working in the FHXA rectangle (X being H's orthogonal projection on (AC), my intuition keeps taking me there but I'm still having no luck solving it.

Thank you for your help,

I do appreaciate it.

I am sorry for the ill terms I might have used as I am French educated.

**1. Homework Statement**

**2. Homework Equations**

**3. The Attempt at a Solution**