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Omni-MATH / A triangle in the xy-plane is such that when projected onto the x-axis, y-axis, and the line y=x, the results are line segments whose endpoints are (1,0) and (5,0),(0,8) and (0,13)…

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problem

A triangle in the xyx y-plane is such that when projected onto the xx-axis, yy-axis, and the line y=xy=x, the results are line segments whose endpoints are (1,0)(1,0) and (5,0),(0,8)(5,0),(0,8) and (0,13)(0,13), and (5,5)(5,5) and (7.5,7.5)(7.5,7.5), respectively. What is the triangle's area?
Plain-text mathematical notation (without MathML)
A triangle in the xy-plane is such that when projected onto the x-axis, y-axis, and the line y=x, the results are line segments whose endpoints are (1,0) and (5,0),(0,8) and (0,13), and (5,5) and (7.5,7.5), respectively. What is the triangle's area?
Original LaTeX notation
A triangle in the $x y$-plane is such that when projected onto the $x$-axis, $y$-axis, and the line $y=x$, the results are line segments whose endpoints are $(1,0)$ and $(5,0),(0,8)$ and $(0,13)$, and $(5,5)$ and $(7.5,7.5)$, respectively. What is the triangle's area?

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Source and history

task_id
74709721-9901-590a-a793-9fc003988bf2
task_key
test--74709721-9901-590a-a793-9fc003988bf2
task_revision_id
1
config / split
/ test

Official source

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