Special Right Triangles (Grade 10)
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Special Right Triangles
1.
Which of the following is not a Pythagorean triple?
- (5, 12, 13)
- (6, 14, 15)
- (25, 60, 65)
- (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
[math]bar(AB)[/math]= 3 m
[math]bar(AC)[/math]= 4 m

- 12 m
- 7 m
- 6 m
- 5 m
3.
A [math]45deg-45deg-90deg[/math] has a hypotenuse length of 20. What is the length of a side?
- [math]10sqrt2[/math]
- [math]20sqrt2[/math]
- [math]10sqrt3[/math]
- [math]20sqrt3[/math]
4.
What is the altitude of an equilateral triangle with a side of 16 inches?

- [math]8[/math] in
- [math]32[/math] in
- [math]16sqrt3[/math] in
- [math]8sqrt3[/math] in
5.
The altitude of equilateral triangle ABC is 15. What is the length of a side of triangle ABC?

- [math]5sqrt2[/math]
- [math]5sqrt3[/math]
- [math]10sqrt2[/math]
- [math]10sqrt3[/math]
6.
A square has a diagonal of [math]6sqrt2[/math]. What is the area of the square?
- 6
- 12
- 24
- 36
7.
What is the perimeter of a [math]45deg-45deg-90deg[/math] triangle with a hypotenuse of [math]7sqrt2[/math]?
- [math]14sqrt2[/math]
- [math]14 + 7sqrt2[/math]
- [math]21sqrt2[/math]
- [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)
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?
- [math]3-4-5 [/math] triple
- [math]5-12-13[/math] triple
- [math]30deg-60deg-90deg[/math]
- [math]45deg-45deg-90deg[/math]
B.
What is the length of side LM?
- [math]5sqrt2[/math]
- [math]5sqrt3[/math]
- [math]10sqrt2[/math]
- [math]10sqrt3[/math]
C.
What is the perimeter of triangle LMO?
- [math]15sqrt2[/math]
- [math]15sqrt3[/math]
- [math]10 + 5sqrt2[/math]
- [math]10 + 5sqrt3[/math]
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