Track / Stage 4 / 205 of 340 #465 of 2000

Problem 465

AMC 12 late, AIME early

Geometry Difficulty 4.8 Find the answer

5. In a convex quadrilateral $A B C D$ , the lengths of sides $B C$ and $A D$ are 6 and 8, respectively. The distance between the midpoints of diagonals $B D$ and $A C$ is 5. Find the angle between the lines $B C$ and $A D$ .

Your answer

Official solution

Answer: $\alpha=90^{\circ}$ .

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.