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MATH / The polar coordinates of points A, B, and C are (2,70^(∘)), (2√(3),40^(∘)), and (3,10^(∘)), respectively. Compute the area of triangle ABC.

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problem

The polar coordinates of points A,A, B,B, and CC are (2,70∘),(2,70^\circ), (23,40∘),(2 \sqrt{3}, 40^\circ), and (3,10∘),(3,10^\circ), respectively. Compute the area of triangle ABC.ABC.
Plain-text mathematical notation (without MathML)
The polar coordinates of points A, B, and C are (2,70^(∘)), (2√(3),40^(∘)), and (3,10^(∘)), respectively.  Compute the area of triangle ABC.
Original LaTeX notation
The polar coordinates of points $A,$ $B,$ and $C$ are $(2,70^\circ),$ $(2 \sqrt{3}, 40^\circ),$ and $(3,10^\circ),$ respectively.  Compute the area of triangle $ABC.$

level

Level 4

type

Precalculus

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Source and history

task_id
fe8af0a2-f58f-56fa-9f81-24672cf2f283
task_key
precalculus--test--fe8af0a2-f58f-56fa-9f81-24672cf2f283
task_revision_id
1
config / split
precalculus / test

Official source

initial import