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:
- All the sides are EQUAL in measure.
- All the angles are EQUAL in measure of 60°.
∴ GH = HJ
Substituting 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}
