# 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.

- True
- False

2.

Is it possible for a triangle to have sides with the lengths 4 m, 7 m, and 9 m?

- yes
- no

3.

A triangle has sides lengths of 1 and 2. What is a possible length for the third side of this triangle?

- 1
- 2
- 3
- 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?

- 2
- 5
- 8
- 11

5.

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

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.

- 41 degrees
- 98 degrees
- 82 degrees
- 139 degrees

7.

In triangle ABC, angle A = 50 degrees and angle C = 50 degrees. What can we tell about this triangle?

- angle B = 80 degrees
- side AC = side BC
- side AB = side BC
- both a and c

8.

m[math]ang[/math]A = 23, m[math]ang[/math]B = 57. Find m[math]ang[/math]C.

- 90
- 100
- 110
- 120

9.

If in the triangle, 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.

- True
- False

10.

What is the area of a triangle with height 8 inches and base 2 inches?

- 8 square inches
- 2 square inches
- 16 square inches
- 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?

- 45 cm
- 30 cm
- 9 cm
- 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 shown, 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.

14.

[math]mangB=[/math]

[math]mangC=30deg[/math]

[math]mangA=115deg[/math]

[math]mangC=30deg[/math]

[math]mangA=115deg[/math]

15.

If angle B = 28 degrees, what is the measure of angle C?

16.

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

[math]A=105deg[/math]

[math]B=45deg[/math]

[math]A=105deg[/math]

[math]B=45deg[/math]

17.

Find the area of triangle where the base is 6 in and height is 5 in.

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?

19.

If side AB = 8, and side AC = 15 what is the measure of side BC?

20.

In the triangle shown, 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.

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