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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 $S=3.$

Triangle

Quadrilateral

Circle

Polygons