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