gryffindor146 gryffindor146
  • 19-02-2021
  • Mathematics
contestada

Find x and y

(45-45-90 formula)

(It’s not 5.6 for x and y I got that wrong)

I’ll mark as brainliest!!

Find x and y 454590 formula Its not 56 for x and y I got that wrong Ill mark as brainliest class=

Respuesta :

jimrgrant1 jimrgrant1
  • 19-02-2021

Answer:

x = y = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

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

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

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] ( multiply both sides by 8 )

8 × cos45° = x , then

x = 8 × [tex]\frac{\sqrt{2} }{2}[/tex] = 4[tex]\sqrt{2}[/tex]

The third angle in the triangle = 45° ( sum of angles in triangle )

Then the triangle is isosceles with congruent legs, thus

x = y = 4[tex]\sqrt{2}[/tex]

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