so1963
so1963 so1963
  • 21-01-2020
  • Mathematics
contestada

What is the value of x, when a scalene triangle's measurements are x, 2x, and 54 ?

What is the value of x when a scalene triangles measurements are x 2x and 54 class=

Respuesta :

keziasynergy keziasynergy
  • 29-01-2020

The value of x is 42

Explanation:

For given scalene triangle, the measure of all three angles will be different.

Since, the sum of angles of a triangle is equal to 180°.

[tex]x+2x+54 = 180\\3x+54 = 180\\3x=180-54\\3x=126\\x=\frac{126}{3} \\x=42[/tex]

[tex]2x = 42\times 2 = 84[/tex]

Therefore, the angles of the scalene triangle are 42°, 84° and 54°

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