Iamsopretty8859 Iamsopretty8859
  • 15-07-2017
  • Mathematics
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Find the remaining sides of a 45°-45°-90° triangle if the longest side is 20.

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Banabanana
Banabanana Banabanana
  • 15-07-2017
45°-45°-90° is an isosceles right triangle. The longest side is hypotenuse.
All 45°-45°-90° triangles have sides that are in a unique ratio. The two legs are the exact same length, and the hypotenuse is that length times the √2.

Let a be the leg then 
hypotenuse = a√2.

[tex]a \sqrt{2}=20 \ \to a= \frac{20}{ \sqrt{2} } \approx 14.14 \ \text{units}[/tex]
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