If ghj Is an equilateral triangle GH= 5x -13, HJ= 11x-61 and GJ = 7x fund x and the measure of each side

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Question:

If ghj Is an equilateral triangle GH= 5x -13, HJ= 11x-61 and GJ = 7x fund x and the measure of each side

Answer:

Answer:

x = 8

The measure of each side of an Equilateral Triangle is 27 units.

Step-by-step explanation:

Given:

Δ GHJ is an Equilateral triangle

GH= 5x -13,

HJ= 11x-61

To Find :

x = ?

Measure of each side = ?

Solution:

Property of Equilateral Triangle:

  1. All the sides are EQUAL in measure.
  2. All the angles are EQUAL in measure of 60°.

GH = HJ

Substituting the given values we get

∴ x = 8

∴ GH = 5x – 13

         =  5×8 – 13

         = 27 units

         = HJ = GJ

∴     GH = HJ = GJ = 27 units  { measure of each side}

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