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MATH / The points A (5,−5) and B (−1,−1) are the endpoints of the hypotenuse of an isosceles right triangle △ABC. What is the area of ABC?

Problem

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problem

The points A(5,−5)A\, (5,-5) and B(−1,−1)B\, (-1,-1) are the endpoints of the hypotenuse of an isosceles right triangle △ABC\triangle ABC. What is the area of ABCABC?
Plain-text mathematical notation (without MathML)
The points A (5,−5) and B (−1,−1) are the endpoints of the hypotenuse of an isosceles right triangle △ABC. What is the area of ABC?
Original LaTeX notation
The points $A\, (5,-5)$ and $B\, (-1,-1)$ are the endpoints of the hypotenuse of an isosceles right triangle $\triangle ABC$. What is the area of $ABC$?

level

Level 5

type

Geometry

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Source and history

task_id
8d20ef05-465b-5c25-9e32-e16eb4bb5561
task_key
geometry--test--8d20ef05-465b-5c25-9e32-e16eb4bb5561
task_revision_id
1
config / split
geometry / test

Official source

initial import