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Omni-MATH / Cyclic quadrilateral ABCD has side lengths AB=1,BC=2,CD=3 and DA=4. Points P and Q are the midpoints of (BC)¯ and (DA)¯. Compute PQ².

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problem

Cyclic quadrilateral ABCDA B C D has side lengths AB=1,BC=2,CD=3A B=1, B C=2, C D=3 and DA=4D A=4. Points PP and QQ are the midpoints of BC¯\overline{B C} and DA¯\overline{D A}. Compute PQ2P Q^{2}.
Plain-text mathematical notation (without MathML)
Cyclic quadrilateral ABCD has side lengths AB=1,BC=2,CD=3 and DA=4. Points P and Q are the midpoints of (BC)¯ and (DA)¯. Compute PQ².
Original LaTeX notation
Cyclic quadrilateral $A B C D$ has side lengths $A B=1, B C=2, C D=3$ and $D A=4$. Points $P$ and $Q$ are the midpoints of $\overline{B C}$ and $\overline{D A}$. Compute $P Q^{2}$.

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Source and history

task_id
fadac620-546e-58de-ab9e-9dd8f2ae9d4b
task_key
test--fadac620-546e-58de-ab9e-9dd8f2ae9d4b
task_revision_id
1
config / split
/ test

Official source

initial import