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MATH / In acute triangle ABC, ∠A=45^(∘). Let D be the foot of the altitude from A to (BC)¯. if BD=2 and CD=3, then find the area of triangle ABC.

Problem

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problem

In acute triangle ABC,ABC, ∠A=45∘.\angle A = 45^\circ. Let DD be the foot of the altitude from AA to BC¯.\overline{BC}. if BD=2BD = 2 and CD=3,CD = 3, then find the area of triangle ABC.ABC.
Plain-text mathematical notation (without MathML)
In acute triangle ABC, ∠A=45^(∘).  Let D be the foot of the altitude from A to (BC)¯.  if BD=2 and CD=3, then find the area of triangle ABC.
Original LaTeX notation
In acute triangle $ABC,$ $\angle A = 45^\circ.$  Let $D$ be the foot of the altitude from $A$ to $\overline{BC}.$  if $BD = 2$ and $CD = 3,$ then find the area of triangle $ABC.$

level

Level 3

type

Precalculus

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Source and history

task_id
8e34bb17-d5e8-5e72-90bb-d924651bf891
task_key
precalculus--test--8e34bb17-d5e8-5e72-90bb-d924651bf891
task_revision_id
1
config / split
precalculus / test

Official source

initial import