jaylamcnair2003
jaylamcnair2003 jaylamcnair2003
  • 23-03-2020
  • Mathematics
contestada

The ratio of the measures of the three angles of a triangle is 7:9:20. Find the measure of each angle of the triangle.​

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Stryfer
Stryfer Stryfer
  • 23-03-2020

Answer:

35,45,100 Degrees

Step-by-step explanation:

We know that in a triangle, each angle measure is proportional to its opposite length.  Therefore, let us find one "unit" of angle measure in relation to the opposite side lengths: [tex]7+9+20=36[/tex].  We can use this by:  [tex]\frac{180}{36}=5[/tex] to find that each "unit" is 5 degrees.  Therefore, we multiply [tex]7*5=35,9*5=45,20*5=100[/tex] to find 35,45,100 Degrees.

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