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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.
$x=$
$5cm$
$10cm$
$15cm$
$20cm$
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 $y.$
$y=$
$9cm$
$12cm$
$15cm$
$18cm$
Question 7:
2 pts
Find the side length of an equilateral triangle whose altitude is 7 inches.
Side length is
$\dfrac{28\sqrt{3}}{3}$inches
$\dfrac{21\sqrt{3}}{3}$inches
$\dfrac{14\sqrt{3}}{3}$inches
$\dfrac{7\sqrt{3}}{3}$inches
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
$=9\sqrt{2}cm^{2}$
$=9\sqrt{3}cm^{2}$
$=12\sqrt{2}cm^{2}$
$=12\sqrt{3}cm^{2}$
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 $S=3.$
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