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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.
$bar(AB)$= 3 m
$bar(AC)$= 4 m
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, angle A = 50 degrees and angle C = 50 degrees. What can we tell about this triangle?
1. angle B = 80 degrees
2. side AC = side BC
3. side AB = side BC
4. both a and c
8.
m$ang$A = 23, m$ang$B = 57. Find m$ang$C.
1. 90
2. 100
3. 110
4. 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.
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 squared, 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 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.
$mangB=$
$mangC=30deg$
$mangA=115deg$

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

16.
Find the measure of $angC$.

$m ang A=105deg$
$m ang B=45deg$

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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