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Mathematics
10th -
11thgrade
45-45-90 Triangles and Squares TUESDAY 3-17-20
25 questions
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- 1. Multiple ChoiceWhat is the length of y in this picture?455√2905
- 2. Multiple ChoiceWhat is the length of y in this 45-45-90 triangle?8√24√248
- 3. Multiple ChoiceWhat is the length of x in this 45-45-90 triangle?4√2484√3
- 4. Multiple ChoiceFind the value of y.11√21122(11√2)/2
- 5. Multiple ChoiceWhat is the value of x?2182√99√2
- 6. Multiple ChoiceFind the missing side lengths.a = 4, b = 4a = 4, b = 2√2a = 2√2, b = 4a = 4, b = 4
- 7. Multiple Choice
Use the 45-45-90 theorem to solve for the hypotenuse.
16
8
8√2
√16
- 8. Multiple ChoiceSolve for a and b in the special right triangle.a = 5, b = 5a = 10, b = 10√2a = 10√2, b = 10√2a = 5√2, b = 5√2
- 9. Multiple ChoiceFind the value of x.3 sqrt(2)36 sqrt(2)6
- 10. Multiple ChoiceWhat is the value of x?12√22√12242
- 11. Multiple ChoiceFind a - the length of a leg of the triangle.424√22√4
- 12. Multiple ChoiceFind a - the length of the hypotenuse.2√62√336
- 13. Multiple ChoiceIf the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.7√249√277√7
- 14. Multiple ChoiceFind the length of the diagonal of a square with side length 12 cm.12√2 cm6√2 cm7√2 cm13
13√2 cm - 15. Multiple ChoiceIn this 45-45-90 triangle, I have been given a leg, so to find the other leg I...Multiply that leg by 2Use the same length for the second legMultiply that leg by √2
- 16. Multiple ChoiceFind 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 inches2 inches8 inches10 inches
- 17. Multiple ChoiceA square has a perimeter of 32 inches. What is the length of the diagonal?164√2 in32√2 in8√2 in
- 18. Multiple ChoiceSam's square bedroom has a diagonal of 9√2 feet. What is the length of each side?183√2912.7
- 19. Multiple ChoiceA triangle has side lengths:
5, 8, 6. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?rightacuteobtuse - 20. Multiple ChoiceA triangle has side lengths:
20, 21, 28. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?rightacuteobtuse - 21. Multiple ChoiceHow long is the hypotenuse of a 45-45-90 triangle, how long is the hypotenuse if each leg is 5 units?10 units5 units15 units5√2 units
- 22. Multiple Choice
The perimeter of a square is 40, what is the length of its diagonal
10
10√2
20
400
- 23. Multiple Choice
The area of a square is 400, what is the length of its diagonal
20
20√2
80
80√2
- 24. Multiple Choice
The diagonal of a square is 15√2, what is its area?
60
60√2
225
225√2
- 25. Multiple Choice
The diagonal of a square is 20, what is its area?
40
40√2
100
200
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