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MATH / In triangle ABC,AB=AC=10 and BC=12. Point D lies strictly between A and B on (AB)¯ and point E lies strictly between A and C on (AC)¯ so that AD=DE=EC. Find AD.

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problem

In triangle ABC,AB=AC=10ABC, AB = AC = 10 and BC=12BC = 12. Point DD lies strictly between AA and BB on AB¯\overline{AB} and point EE lies strictly between AA and CC on AC¯\overline{AC} so that AD=DE=ECAD = DE = EC. Find AD.AD.
Plain-text mathematical notation (without MathML)
In triangle ABC,AB=AC=10 and BC=12. Point D lies strictly between A and B on (AB)¯ and point E lies strictly between A and C on (AC)¯ so that AD=DE=EC.  Find AD.
Original LaTeX notation
In triangle $ABC, AB = AC = 10$ and $BC = 12$. Point $D$ lies strictly between $A$ and $B$ on $\overline{AB}$ and point $E$ lies strictly between $A$ and $C$ on $\overline{AC}$ so that $AD = DE = EC$.  Find $AD.$

level

Level 4

type

Precalculus

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Source and history

task_id
8c88eea0-3edb-5efa-9286-094ea47a2405
task_key
precalculus--test--8c88eea0-3edb-5efa-9286-094ea47a2405
task_revision_id
1
config / split
precalculus / test

Official source

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