MxdelineGrace
MxdelineGrace MxdelineGrace
  • 16-12-2020
  • Mathematics
contestada

Write an expression for the length of the third side of an isocoles triangle

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MrRoyal
MrRoyal MrRoyal
  • 22-12-2020

Answer:

[tex]y = 180 - 2x[/tex]

Step-by-step explanation:

Required

Triangle: Isosceles

Required

An expression for the third side

Let the equal sides be x and the third side be y

From triangle sum theorem, we have the following expression:

[tex]x + x + y = 180[/tex]

[tex]2x + y = 180[/tex]

Subtract 2x from both sides

[tex]-2x +2x + y = 180 - 2x[/tex]

[tex]y = 180 - 2x[/tex]

Hence, the third side of an isosceles triangle is: [tex]y = 180 - 2x[/tex]

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