Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2026 — Part 02 Question 17

Math Olympiad Vault · MathNet 2026 — Part 02

Question 17

In a triangle $ABC$, the angle $A\hat{BC}$ measures $20^\circ$ and the angle $A\hat{C}B$ measures $40^\circ$. Let $E$ be a dot about $BC$ such that $BE = BA$.
a. Shows that the triangle $CEA$ is isosceles.
b. Knowing that the angle bisector length $B\hat{A}C$ is $2$, determine $BC - AB$.