hypotenuse of an oblique triangle – Khan Academy Help Center

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Asuna

June 10, 2018 01:20

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Since law of sines works on oblique triangles, but sine of angle require opposite over hypotenuse. What is the hypotenuse in an oblique triangle?

Online one definition defines hypotenuse as the longest side in a right triangle. Does it have to be a right triangle?

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4 comments

Admiral Betasin

June 10, 2018 21:51
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Hi Asuna,

For an oblique triangle, trigonometric ratios do not apply. This include the law of sines. Also, oblique triangles cannot have a hypotenuse. A hypotenuse is defined as "The longest side in a right triangle."
Asuna

June 10, 2018 23:25
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thanks! I understand it now.
Asuna

June 10, 2018 23:26
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With a line perpendicular to the base of the triangle, the oblique triangle is divided into two right triangle and then we can "apply" the law of sines.
Admiral Betasin

June 11, 2018 18:33
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Hi Asuna,

No problem. And that's correct.

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