sloppycanada
  • sloppycanada
The length of the hypotenuse of a 45°-45°-90° triangle is 8 units. Find the exact value of the length of the leg.
Mathematics
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sloppycanada
  • sloppycanada
The length of the hypotenuse of a 45°-45°-90° triangle is 8 units. Find the exact value of the length of the leg.
Mathematics
jamiebookeater
  • jamiebookeater
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Vocaloid
  • Vocaloid
leg = hypotenuse/(square root of 2)
sloppycanada
  • sloppycanada
\[8\sqrt{2}\]
Vocaloid
  • Vocaloid
/ means divide

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Vocaloid
  • Vocaloid
8 divided by sqrt(2)
sloppycanada
  • sloppycanada
\[8\]
Vocaloid
  • Vocaloid
|dw:1443493557082:dw|
sloppycanada
  • sloppycanada
\[\frac{ 8 }{ \sqrt{2} }\]
Vocaloid
  • Vocaloid
good, we can simplify that as 4*sqrt(2)
Vocaloid
  • Vocaloid
|dw:1443493612226:dw|
Vocaloid
  • Vocaloid
|dw:1443493632919:dw|
sloppycanada
  • sloppycanada
The length of the hypotenuse of a 30°-60°-90° triangle is 12 units. Find the exact value of the length of the short leg.
sloppycanada
  • sloppycanada
12/sqrt2? @Vocaloid
Vocaloid
  • Vocaloid
nope, this is a different type of triangle short leg = (1/2)(hypotenuse)
sloppycanada
  • sloppycanada
so 6?
sloppycanada
  • sloppycanada
The hypotenuse of a 30°-60°-90° triangle is 10 units. Find the exact value of the length of the long leg. @Vocaloid
Vocaloid
  • Vocaloid
|dw:1443493989090:dw|
sloppycanada
  • sloppycanada
5*sqrt3? @Vocaloid
Vocaloid
  • Vocaloid
good

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