Answer:
Step-by-step explanation:
5). Triangle DEF is an equilateral triangle.
Therefore, measure of all sides and the angles of the triangle will be equal.
DE = EF = DF = 5.2 ft
3y + 1 = 5.2
3y = 5.2 - 1
3y = 4.2
y = 1.4
Similarly, m∠D = 60° [Measure of all angles of an isosceles triangle = 60°]
(5x)° = 60°
x = [tex]\frac{60}{5}[/tex]
x = 12
6). Property to be used in ΔFGH,
"Two sides of an isosceles triangle are equal in measure and opposite angles of the equal sides of the triangle are equal"
FG = GH
3y = 12.9
y = 4.3
m∠F = m∠H
4x = 44
x = 11