Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2019-part-02 — 184 problems (EN–VI) Question 57

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 57

In the following drawing, the chords $DE$ and $BC$ are perpendicular, with $BC$ a diameter of the circle with center $A$. Moreover, $\angle CGF = 40^\circ$ and $GH = 2\ \mathrm{cm}$.

a) Determine the value of the angle $\angle CHF$.

b) Find the length of $HJ$.

Question illustration