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MATH / Triangle ABC has AB=BC=5 and AC=6. Let E be the foot of the altitude from B to (AC)¯ and let D be the foot of the altitude from A to (BC)¯. Compute the area of triangle DEC.

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problem

Triangle ABCABC has AB=BC=5AB=BC=5 and AC=6AC=6. Let EE be the foot of the altitude from BB to AC¯\overline{AC} and let DD be the foot of the altitude from AA to BC¯\overline{BC}. Compute the area of triangle DECDEC.
Plain-text mathematical notation (without MathML)
Triangle ABC has AB=BC=5 and AC=6. Let E be the foot of the altitude from B to (AC)¯ and let D be the foot of the altitude from A to (BC)¯.  Compute the area of triangle DEC.
Original LaTeX notation
Triangle $ABC$ has $AB=BC=5$ and $AC=6$. Let $E$ be the foot of the altitude from $B$ to $\overline{AC}$ and let $D$ be the foot of the altitude from $A$ to $\overline{BC}$.  Compute the area of triangle $DEC$.

level

Level 5

type

Geometry

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Source and history

task_id
97cb480f-f98c-563e-903d-9efa8f246ee4
task_key
geometry--test--97cb480f-f98c-563e-903d-9efa8f246ee4
task_revision_id
1
config / split
geometry / test

Official source

initial import