2019 AIME I Problems/Problem 6

Problem 6

In convex quadrilateral $KLMN$ side $\overline{MN}$ is perpendicular to diagonal $\overline{KM}$ , side $\overline{KL}$ is perpendicular to diagonal $\overline{LN}$ , $MN = 65$ , and $KL = 28$ . The line through $L$ perpendicular to side $\overline{KN}$ intersects diagonal $\overline{KM}$ at $O$ with $KO = 8$ . Find $MO$ .

Solution (Similar triangles)

(writing this, don't edit) $[asy] size(100); draw((0,0)--(1,0)); [/asy]$

Video Solution

Video Solution: https://www.youtube.com/watch?v=0AXF-5SsLc8

2019 AIME I (Problems • Answer Key • Resources)
Preceded by Problem 5	Followed by Problem 7
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2019 AIME I Problems/Problem 6

Contents

Problem 6

Solution (Similar triangles)

Video Solution

See Also