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Triangles - Sides, Angles, and Areas (Grade 10)

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Triangles - Sides, Angles, and Areas

1. 
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
  1. True
  2. False
2. 
Is it possible for a triangle to have sides with the lengths 4 m, 7 m, and 9 m?
  1. yes
  2. no
3. 
A triangle has sides lengths of 1 and 2. What is a possible length for the third side of this triangle?
  1. 1
  2. 2
  3. 3
  4. 4
4. 
A right triangle has a hypotenuse of length 17. If one side has a length of 15, what is the length of the third side?
  1. 2
  2. 5
  3. 8
  4. 11
5. 
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
6. 
The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measures, while angle C is 57 degrees larger than the other two angles. Find the measure of angle C.
  1. 41 degrees
  2. 98 degrees
  3. 82 degrees
  4. 139 degrees
7. 
In triangle ABC below, angle A = 50 degrees and angle C = 50 degrees. What can we tell about this triangle?
Isosceles Triangle Height v2
  1. angle B = 80 degrees
  2. side AC = side BC
  3. side AB = side BC
  4. choice a and c
8. 
m[math]ang[/math]A = 23, m[math]ang[/math]B = 57. Find m[math]ang[/math]C.
Obtuse Triangle ABC v3
  1. 90
  2. 100
  3. 110
  4. 120
9. 
If in the triangle below the ratio of sides AB:BC:AC is 6:3:5, it is possible for angle C to be the largest angle of the triangle.
Obtuse Triangle ABC v3
  1. True
  2. False
10. 
What is the area of a triangle with height 8 inches and base 2 inches?
  1. 8 square inches
  2. 2 square inches
  3. 16 square inches
  4. 6 square inches
11. 
If the area of a triangle is 15 cm sqaured, and the base is 2 cm, then what is the height?
  1. 45 cm
  2. 30 cm
  3. 9 cm
  4. 15 cm
12. 
The lengths of two sides of a triangle are 4 and 9. The length of the third side must be greater than                , but less than                .



13. 
In triangle ABC below, side AB = 41 cm, side AC = 40 cm and side BC = 9 cm.                      is the largest angle in the triangle and                      is the smallest angle in the triangle.
Obtuse Triangle ABC v3
14. 
[math]mangB=[/math]
[math]mangC=30deg[/math]
[math]mangA=115deg[/math]
Obtuse Triangle ABC v2



15. 
If angle B = 28 degrees, what is the measure of angle C?
Right Triangle ABC v1



16. 
Find the measure of [math]angC[/math]

[math]A=105deg[/math]
[math]B=45deg[/math]
Scalene Triangle ABC v1



17. 
Find the area of triangle where the base is 6 in and height is 5 in.
Right Triangle v1



18. 
If side AB = 15 inches, side BC = 8 inches, side AC = 18 inches and the height of the triangle = 10 inches, what is the area of the triangle?
Acute Triangle Height v3



19. 
If side AB = 8, and side AC = 15 what is the measure of side BC?
Right Triangle ABC v2



20. 
In the triangle below side AB = side BC. If the measure of angle B is 10 less than twice the measure of angle A, what is the measure of angle C? Show your work.
Isosceles Triangle ABC v1



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