Mixed problems

Question 1:

1 pts

$\dfrac{x}{16}=\sin 52^{\circ}$

Question 2:

1 pts

$30cm, 40cm, 80cm$ can be the sides of a triangle.

Question 3:

1 pts

Can $30^{\circ}, 40^{\circ}$ and $100^{\circ}$ be the angles of a triangle?

Question 4:

1 pts

Find the area of an equilateral triangle that has sides equal to 6 cm.

$A=6\sqrt{3}cm^{2}$	$A=9\sqrt{3}cm^{2}$
$A=36\sqrt{3}cm^{2}$	$A=72\sqrt{3}cm^{2}$

Question 5:

2 pts

Find the ratio of the sides of a triangle whose interior angles are $30^{\circ}, 60^{\circ}$ and $90^{\circ}.$

$a:b:c=$

Question 6:

2 pts

Find the side length of an equilateral triangle whose altitude is $12$ inches.

Question 7:

2 pts

Triangle $ABC$ shown below is inscribed inside a square of side 18 cm. Find the area of the triangle.

	$162cm^{2}$
	$160cm^{2}$
	$324cm^{2}$
	$9cm^{2}$

Question 8:

2 pts

The right triangle�shown below has an area of $25.$ Find its hypotenuse.

	$5$
	$\sqrt{5}$
	$5 \sqrt{5}$
	$\dfrac{1}{5}$

Question 9:

3 pts

Area of a triangle is $5m^{2},$ the length of one side is $4m$ and of other side $3m.$ Find the sine of the angle between given sides.

$\sin \gamma =$

Question 10:

3 pts

Angles of a triangle $\triangle ABC,$ which lay at the side $AB$ are $70^{\circ}$ and $80^{\circ},$ and $O$ is the intersection of altitudes of the triangle and $\delta=\measuredangle AOB.$ Find $\sin \delta.$

$\sin \delta =$

Question 11:

3 pts

Triangle $ABC$ is an isosceles triangle. The length of the base is $20$ meters and the corresponding height is $24$ meters. Find the perimeter of $ABC.$ (round your answer to the nearest tenth of a meter).

$O=144m$	$O=72m$
$O=76m$	$O=18m$

Question 12:

3 pts

The perimeter of a triangle is $74$ inches. The length of the first side is twice the length of the second side. The third side is $4$ inches more than the first side. Find the length of each side of the triangle.�

Mixed problems

Triangle

Quadrilateral

Circle

Polygons