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For the right Triangle below, Find the exact values of the side lengths c and a.

If necessary, write your response in simplified radical form.​

For the right Triangle below Find the exact values of the side lengths c and a If necessary write your response in simplified radical form class=

Respuesta :

[tex]c=3\sqrt{3}\\a=4\sqrt{2}[/tex]

Step-by-step explanation:

The trigonometric ratios will be used used for finding the values of given variable

For c

We have to use a ratio that has perpendicular and base in it. so we will use tan x

[tex]tan\ 60 = \frac{P}{B}\\tan\ 60=\frac{c}{3}\\\sqrt{3}=\frac{c}{3}\\3*\sqrt{3}=c\\c=3\sqrt{3}[/tex]

similarly for a

[tex]sin\ 45 = \frac{b}{h}\\\frac{\sqrt{2}}{2}=\frac{a}{8}\\\frac{\sqrt{2}}{2}*8=a\\a=4\sqrt{2}[/tex]

Hence,

[tex]c=3\sqrt{3}\\a=4\sqrt{2}[/tex]

Keywords: Triangles, Trigonometric Ratios

Learn more about triangle at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

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