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• Geometry
• Triangles
• Equilateral triangle

# Equilateral triangle

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•  Question 1: 1 pts Find the value of $x.$
 $120^{\circ}$ $60^{\circ}$ $90^{\circ}$ $30^{\circ}$
•  Question 2: 1 pts Find the value of the missing variables.
$x=$
•  Question 3: 1 pts Find the area of the equilateral triangle shown on the picture.
 $64\sqrt{3}ft^{2}$ $24\sqrt{3}ft^{2}$ $8\sqrt{3}ft^{2}$ $16\sqrt{3}ft^{2}$
•  Question 4: 1 pts We can find the altitude of the equilateral triangle, whose sides is $a,$ using the formula $h=\dfrac{a\sqrt{3}}{3}$
•  Question 5: 2 pts Find the value of $x.$
 $x=13^{\circ}$ $x=14^{\circ}$ $x=15^{\circ}$ $x=16^{\circ}$
•  Question 6: 2 pts Find the value of $y.$
$y=$
•  Question 7: 2 pts Find the side length of an equilateral triangle whose altitude is 7 inches.
Side length is
•  Question 8: 2 pts Find the missing angles.
 $m=45^{\circ}, n=60^{\circ}$ $m=60^{\circ}, n=45^{\circ}$ $m=60^{\circ}, n=30^{\circ}$ $m=30^{\circ}, n=60^{\circ}$
•  Question 9: 3 pts Find the value of the missing variables.
 $x=8cm, y=30^{\circ}$ $x=9cm, y=30^{\circ}$ $x=12cm, y=30^{\circ}$ $x=12cm, y=60^{\circ}$
•  Question 10: 3 pts What is the area of an equilateral triangle, with apothem of $6cm$ in length?
Area
•  Question 11: 3 pts What is the area of the circumscribed circle of an equilateral triangle of side $a = 5$ inches?
 $A=\dfrac{25}{3}\pi\mbox {inches}^{2}$ $A=\dfrac{20}{3}\pi\mbox {inches}^{2}$ $A=\dfrac{15}{3}\pi\mbox {inches}^{2}$ $A=\dfrac{10}{3}\pi\mbox {inches}^{2}$
•  Question 12: 3 pts The ratio $S$ of the area of the circumscribed circle to the area of the inscribed circle of an equilateral triangle is $S=3.$