pinkyc1019
pinkyc1019 pinkyc1019
  • 09-07-2021
  • Mathematics
contestada

What is the length of leg s of the triangle below?
45
4-12
90°
45

What is the length of leg s of the triangle below 45 412 90 45 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 09-07-2021

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

s × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

s = 4 → A

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