 45-45-90 Triangles and Squares TUESDAY 3-17-20
9 minutes ago
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Practice 25 QuestionsShow answers
• Question 1
120 seconds
Report an issue Q. What is the length of y in this picture?
45
5√2
90
5
• Question 2
120 seconds
Report an issue Q. What is the length of y in this 45-45-90 triangle?
8√2
4√2
4
8
• Question 3
120 seconds
Report an issue Q. What is the length of x in this 45-45-90 triangle?
4√2
4
8
4√3
• Question 4
120 seconds
Report an issue Q. Find the value of y.
11√2
11
22
(11√2)/2
• Question 5
120 seconds
Report an issue Q. What is the value of x?
2
18
2√9
9√2
• Question 6
120 seconds
Report an issue Q. Find the missing side lengths.
a = 4, b = 4
a = 4, b = 2√2
a = 2√2,  b = 4
a = 4, b = 4
• Question 7
120 seconds
Report an issue Q.

Use the 45-45-90 theorem to solve for the hypotenuse.

16

8

8√2

√16

• Question 8
120 seconds
Report an issue Q. Solve for a and b in the special right triangle.
a = 5, b = 5
a = 10, b = 10√2
a = 10√2, b = 10√2
a = 5√2, b = 5√2
• Question 9
120 seconds
Report an issue Q. Find the value of x.
3 sqrt(2)
3
6 sqrt(2)
6
• Question 10
120 seconds
Report an issue Q. What is the value of x?
12√2
2√12
24
2
• Question 11
900 seconds
Report an issue Q. Find a - the length of a leg of the triangle.
4
2
4√2
2√4
• Question 12
900 seconds
Report an issue Q. Find a - the length of the hypotenuse.
2√6
2√3
3
6
• Question 13
900 seconds
Report an issue
Q. If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.
7√2
49√2
7
7√7
• Question 14
900 seconds
Report an issue
Q. Find the length of the diagonal of a square with side length 12 cm.
12√2 cm
6√2 cm
7√2 cm
13
13√2 cm
• Question 15
900 seconds
Report an issue Q. In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
Multiply that leg by 2
Use the same length for the second leg
Multiply that leg by √2
• Question 16
120 seconds
Report an issue
Q. Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45∘.
4 inches
2 inches
8 inches
10 inches
• Question 17
120 seconds
Report an issue
Q. A square has a perimeter of 32 inches.  What is the length of the diagonal?
16
4√2 in
32√2 in
8√2 in
• Question 18
120 seconds
Report an issue
Q. Sam's square bedroom has a diagonal of 9√2 feet.  What is the length of each side?
18
3√2
9
12.7
• Question 19
120 seconds
Report an issue
Q. A triangle has side lengths:
5, 8, 6.  Is this triangle a right triangle, an acute triangle, or an obtuse triangle?
right
acute
obtuse
• Question 20
120 seconds
Report an issue
Q. A triangle has side lengths:
20, 21, 28.  Is this triangle a right triangle, an acute triangle, or an obtuse triangle?
right
acute
obtuse
• Question 21
120 seconds
Report an issue
Q. How long is the hypotenuse of a 45-45-90 triangle, how long is the hypotenuse if each leg is 5 units?
10 units
5 units
15 units
5√2 units
• Question 22
30 seconds
Report an issue
Q.

The perimeter of a square is 40, what is the length of its diagonal

10

10√2

20

400

• Question 23
300 seconds
Report an issue
Q.

The area of a square is 400, what is the length of its diagonal

20

20√2

80

80√2

• Question 24
300 seconds
Report an issue
Q.

The diagonal of a square is 15√2, what is its area?

60

60√2

225

225√2

• Question 25
30 seconds
Report an issue
Q.

The diagonal of a square is 20, what is its area?