craftyclub4u craftyclub4u
  • 22-07-2021
  • Mathematics
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The side lengths of a 45-45-90 triangle are in the ratio 1:1:√2. What is sin 45°?

The side lengths of a 454590 triangle are in the ratio 112 What is sin 45 class=

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KurdishPotato
KurdishPotato KurdishPotato
  • 23-07-2021

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

To find the value of sin 45° we divide the opposite side length with hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex]  we then multiply this by [tex]\sqrt{2}[/tex] because denominator cannot be irrational

[tex]\frac{1}{\sqrt{2} }[/tex]  x [tex]\sqrt{2}[/tex]  = [tex]\frac{\sqrt{2} }{2}[/tex] gg

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