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  • Geometry
  • Triangles
  • Equilateral triangle

Equilateral triangle

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  • Question 1:
    1 pts
    		Find the value of x.x.
    120∘120^{\circ}
    60∘60^{\circ}
    90∘90^{\circ}
    30∘30^{\circ}
  • Question 2:
    1 pts
    		Find the value of the missing variables.
    x=x=
  • Question 3:
    1 pts
    		Find the area of the equilateral triangle shown on the picture.
    643ft264\sqrt{3}ft^{2}
    243ft224\sqrt{3}ft^{2}
    83ft28\sqrt{3}ft^{2}
    163ft216\sqrt{3}ft^{2}
  • Question 4:
    1 pts
    		We can find the altitude of the equilateral triangle, whose sides is a,a, using the formula h=a33h=\dfrac{a\sqrt{3}}{3}
  • Question 5:
    2 pts
    		Find the value of x.x.
    x=13∘x=13^{\circ}
    x=14∘x=14^{\circ}
    x=15∘x=15^{\circ}
    x=16∘x=16^{\circ}
  • Question 6:
    2 pts
    		Find the value of y.y.
    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∘,n=60∘m=45^{\circ}, n=60^{\circ}
    m=60∘,n=45∘m=60^{\circ}, n=45^{\circ}
    m=60∘,n=30∘m=60^{\circ}, n=30^{\circ}
    m=30∘,n=60∘m=30^{\circ}, n=60^{\circ}
  • Question 9:
    3 pts
    		Find the value of the missing variables.
    x=8cm,y=30∘x=8cm, y=30^{\circ}
    x=9cm,y=30∘x=9cm, y=30^{\circ}
    x=12cm,y=30∘x=12cm, y=30^{\circ}
    x=12cm,y=60∘x=12cm, y=60^{\circ}
  • Question 10:
    3 pts
    		What is the area of an equilateral triangle, with apothem of 6cm6cm in length?
    Area
  • Question 11:
    3 pts
    		What is the area of the circumscribed circle of an equilateral triangle of side a=5a = 5 inches?
    A=253π\mboxinches2A=\dfrac{25}{3}\pi\mbox {inches}^{2}
    A=203π\mboxinches2A=\dfrac{20}{3}\pi\mbox {inches}^{2}
    A=153π\mboxinches2A=\dfrac{15}{3}\pi\mbox {inches}^{2}
    A=103π\mboxinches2A=\dfrac{10}{3}\pi\mbox {inches}^{2}
  • Question 12:
    3 pts
    		The ratio SS of the area of the circumscribed circle to the area of the inscribed circle of an equilateral triangle is S=3.S=3.

Triangle

Quadrilateral

Circle

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