MATH SOLVE

2 months ago

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

Accepted Solution

A:

Answer:x = 8The measure of each side of an Equilateral Triangle is 27 units.Step-by-step explanation:Given:Δ GHJ is an Equilateral triangleGH= 5x -13, HJ= 11x-61 To Find :x = ?Measure of each side = ?Solution:Property of Equilateral Triangle:All the sides are EQUAL in measure.All the angles are EQUAL in measure of 60°.∴ GH = HJSubstituting the given values we get[tex]5x-13=11x-61\\11x-5x=61-13\\6x=48\\x=\frac{48}{6} \\x=8\\[/tex]∴ x = 8∴ GH = 5x - 13 = 5×8 - 13 = 27 units = HJ = GJ∴ GH = HJ = GJ = 27 units { measure of each side}