Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2024-part-01 — 168 problems (EN–VI) Question 7

Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)

Question 7

Let $ABCD$ be a trapezoid with parallel sides $AB$ and $CD$, with $\angle BAD = 90^\circ$ and with $AB + CD = BC$. Furthermore, let $M$ be the mid-point of $AD$.
Prove that $\angle CMB = 90^\circ$.