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MATH / We have triangle △ABC where AB=AC and AD is an altitude. Meanwhile, E is a point on AC such that AB∥DE. If BC=12 and the area of △ABC is 180, what is the area of ABDE?

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problem

We have triangle △ABC\triangle ABC where AB=ACAB = AC and ADAD is an altitude. Meanwhile, EE is a point on ACAC such that AB∥DE.AB \parallel DE. If BC=12BC = 12 and the area of △ABC\triangle ABC is 180,180, what is the area of ABDEABDE?
Plain-text mathematical notation (without MathML)
We have triangle △ABC where AB=AC and AD is an altitude. Meanwhile, E is a point on AC such that AB∥DE. If BC=12  and the area of △ABC is 180, what is the area of ABDE?
Original LaTeX notation
We have triangle $\triangle ABC$ where $AB = AC$ and $AD$ is an altitude. Meanwhile, $E$ is a point on $AC$ such that $AB \parallel DE.$ If $BC = 12$  and the area of $\triangle ABC$ is $180,$ what is the area of $ABDE$?

level

Level 4

type

Geometry

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Source and history

task_id
819cbd6b-ebe4-55f1-a7fa-0ff2f0ffb5af
task_key
geometry--test--819cbd6b-ebe4-55f1-a7fa-0ff2f0ffb5af
task_revision_id
1
config / split
geometry / test

Official source

initial import