WorksheetsGrade 9 Review Session (4th Periodical Test)
Total questions: 15
Worksheet time: 26mins
The length of the altitude drawn from the vertex of the right angle to the hypotenuse of a right triangle is the ________ mean of the lengths of the two segments along the hypotenuse.
arithmetic
geometric
harmonic
weighted
If an altitude from the vertex of the right angle to the hypotenuse of a right triangle is drawn, how many similar triangles are there?
none
one
two
three
Which of the following are true statement/s about a 30-60-90 triangle? Check all that apply.
The hypotenuse is twice as long as the longer leg.
The longer leg is 3 times as long as the shorter leg.
The hypotenuse is twice as long as the shorter leg.
The longer leg is twice as long as the shorter leg.
The hypotenuse is 2 times as long as either of the leg.
In a 30°-60°-90° triangle, the length of the hypotenuse (h) is equal to the length of the _________.
shorter leg times 2
longer leg times √3
shorter leg times 3
longer leg times the length of the shorter leg
If a 30°-60°-90° triangle has a hypotenuse of 20 cm., what is the length of the shorter leg?
8 cm
10 cm
83
103
The legs of a right triangle have lengths 5 cm and 5√3 cm. What is the length of the hypotenuse?
10 cm
12 cm
15 cm
20 cm
What is the altitude of an equilateral triangle whose side is of length 2p?
p
2p
3p
23p
How far from the base of a building must a 10-foot ladder be placed to lean against the building and makes an angle of 60° with the ground?
5 ft.
53 ft.
123 ft.
24 ft.
What is the measure of x?
28 units
676 units
73 units
76 units
A rectangular field is 20 meters wide and 40 meters long. Patrick walks through the diagonal of the field. How far does he walk?
202 meters
203 meters
205 meters
206 meters
Which set of numbers could not be the lengths of the sides of a right triangle?
{5, 12, 13}
{3, 4, 5}
{2, 3, 4}
{8, 15, 17}
Given the diagram at the right, as labeled in foot with points B, C, and D collinear. A chain is laid along the hypotenuse in each triangle. Find the total length of the chain.
15 feet
25 feet
30 feet
40 feet
Which of the following is true?
x=4y
y=4x
y=4z
z=4y
Find the value of x in the figure.
4
8
12
16
Find the value of 𝑧 in the figure.
4
42
8
82
