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Special Right Triangles (Grade 10)

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Special Right Triangles

1. 
Which of the following is not a Pythagorean triple?
  1. (5, 12, 13)
  2. (6, 14, 15)
  3. (25, 60, 65)
  4. (50, 120, 130)
2. 
Find the length of the hypotenuse of this triangle.
[math]bar(AB)[/math]= 3 m
[math]bar(AC)[/math]= 4 m
Right Triangle ABC v2
  1. 12 m
  2. 7 m
  3. 6 m
  4. 5 m
3. 
A [math]45deg-45deg-90deg[/math] has a hypotenuse length of 20. What is the length of a side?
  1. [math]10sqrt2[/math]
  2. [math]20sqrt2[/math]
  3. [math]10sqrt3[/math]
  4. [math]20sqrt3[/math]
4. 
What is the altitude of an equilateral triangle with a side of 16 inches?
Equilateral Triangle Height v1
  1. [math]8[/math] in
  2. [math]32[/math] in
  3. [math]16sqrt3[/math] in
  4. [math]8sqrt3[/math] in
5. 
The altitude of equilateral triangle ABC is 15. What is the length of a side of triangle ABC?
Equilateral Triangle Height v1
  1. [math]5sqrt2[/math]
  2. [math]5sqrt3[/math]
  3. [math]10sqrt2[/math]
  4. [math]10sqrt3[/math]
6. 
A square has a diagonal of [math]6sqrt2[/math]. What is the area of the square?
  1. 6
  2. 12
  3. 24
  4. 36
7. 
What is the perimeter of a [math]45deg-45deg-90deg[/math] triangle with a hypotenuse of [math]7sqrt2[/math]?
  1. [math]14sqrt2[/math]
  2. [math]14 + 7sqrt2[/math]
  3. [math]21sqrt2[/math]
  4. [math]21 + 7sqrt2[/math]
8. 
Use the following information to answer questions A-C.

Triangle LMO has vertices with the following coordinate points:
L (5, 5)
M (0, 0)
O (5, 0)
A. 
What type of special triangle is triangle LMO?
  1. [math]3-4-5 [/math] triple
  2. [math]5-12-13[/math] triple
  3. [math]30deg-60deg-90deg[/math]
  4. [math]45deg-45deg-90deg[/math]
B. 
What is the length of side LM?
  1. [math]5sqrt2[/math]
  2. [math]5sqrt3[/math]
  3. [math]10sqrt2[/math]
  4. [math]10sqrt3[/math]
C. 
What is the perimeter of triangle LMO?
  1. [math]15sqrt2[/math]
  2. [math]15sqrt3[/math]
  3. [math]10 + 5sqrt2[/math]
  4. [math]10 + 5sqrt3[/math]
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