Free Printable Review of Inequalities in Triangles

1.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

2.

Can the sides of a triangle have lengths 3, 8, and 9?

a)

Yes

b)

No

3.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

4.

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

a)

6

b)

7

c)

5

d)

4

5.

Where would the largest angle of a triangle be located?

a)

Across from the longest side.

b)

Across from the shortest side

c)

I need more information to get an answer.

6.

Where would the shortest side of a triangle be located?

a)

Across from the smallest angle in the triangle.

b)

Across from the largest angle in the triangle?

c)

Cannot tell.

7.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

8.

What is the range of values the third side of the triangle could be?

a)

A

b)

B

c)

C

d)

D

9.

List the lengths of the sides of the triangle in order from smallest to largest.

a)

JK < JL < KL

b)

JL < KL < JK

c)

JK < KL < JL

d)

KL < JL < JK

10.

List the lengths of the sides of the triangle in order from smallest to largest.

a)

BC, CD = BD

b)

BD = CD, BC

c)

CD, DB, DB

d)

BD, CD, BC

11.

List the lengths of the sides of the triangle in order from smallest to largest.

a)

CD, CB, BD

b)

BD, CB, CD

c)

CD, DB, CB

d)

CB, CD, DB

12.

List the lengths of the sides of the triangle in order from smallest to largest.

a)

KL, JL, JK

b)

KL, JK, JL

c)

JK, JL, KL

d)

LJ, JK, KL

13.

List the lengths of the sides of the triangle in order from smallest to largest.

a)

CD, DE, CE

b)

CD, EC, DE

c)

CE, DE, CD

d)

DE, CD, CE

14.

List the angles of the triangle in order from smallest to largest.

a)

$\angle L,\ \angle N,\ \angle M$

b)

$\angle L,\ \angle M,\ \angle N$

c)

$\angle M\ ,\ \angle L,\ \angle N$

d)

$\angle N,\ \angle L,\ \angle M$

15.

List the angles of the triangle in order from smallest to largest.

a)

$\angle V,\ \angle U\ \&\ \angle W$

b)

$\angle U,\ \angle W,\ \angle V$

c)

$\angle U\ ,\ \angle V,\ \angle W$

d)

$\angle W,\ \angle V,\ \angle U$

16.

List the angles of the triangle in order from smallest to largest.

a)

$\angle F,\ \angle G,\ \ \angle E$

b)

$\angle E,\ \angle G,\ \angle F$

c)

$\angle G,\ \angle E,\ \angle F$

d)

$\angle F,\ \angle E,\ \angle G$

17.

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

a)

Yes

b)

No

18.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

3, 10, 8

b)

2, 5, 8

c)

7, 5, 4

d)

5, 2, 4

19.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

20.

What is a possible third side to a triangle with side lengths of 5 and 5?

a)

9

b)

10

c)

11

d)

12

21.

Which set of numbers may represent the lengths of the sides of a triangle?

a)

{2,5,9}

b)

{6,6,7}

c)

{6,4,2}

d)

{7,8,1}

22.

Do the lengths form a right triangle? 6, 8, 10

a)

yes

b)

no

23.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6

a)

right

b)

obtuse

c)

acute

24.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

25.

A triangle has side lengths:
20, 21, 28. Is this triangle a right triangle, an acute triangle, or an obtuse triangle?

a)

right

b)

acute

c)

obtuse

26.

Given the lengths 4", 7", 10", classify the triangle formed and or state that no triangle CAN be formed.

a)

No triangle

b)

Acute triangle

c)

Right triangle

d)

Obtuse triangle

27.

Given the lengths 6", 8", 10", classify the triangle formed and or state that no triangle CAN be formed.

a)

No triangle

b)

Acute triangle

c)

Right triangle

d)

Obtuse triangle

28.

Given the lengths 8", 15", 17", classify the triangle formed and or state that no triangle CAN be formed.

a)

No triangle

b)

Acute triangle

c)

Right triangle

d)

Obtuse triangle

29.

Given the lengths 10", 12", 15", classify the triangle formed and or state that no triangle CAN be formed.

a)

No triangle

b)

Acute triangle

c)

Right triangle

d)

Obtuse triangle

30.

Given the lengths 3", 4", 5", classify the triangle formed and or state that no triangle CAN be formed.

a)

No triangle

b)

Acute triangle

c)

Right triangle

d)

Obtuse triangle

31.

Is the triangle formed from Washington D.C. to Cincinnati to Tallahassee right, acute, or obtuse?

a)

right

b)

acute

c)

obtuse

32.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

33.

If the legs of a right triangle are 10 and 24, then the hypotenuse is __________.

a)

21

b)

19

c)

26

d)

30

34.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

35.

Determine if the lengths shown create an acute, obtuse, or right triangle.

a)

Acute

b)

Obtuse

c)

Right

36.

Acute, right, or obtuse

a)

Acute

b)

Right

c)

Obtuse

37.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

38.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

39.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

40.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

41.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

42.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

43.

Answer the question that follows.

a)

Neva

b)

Shawn

c)

Jin

d)

Jimin

44.

Answer the question that follows.

a)

Plane 1

b)

Train 2

c)

Plane 2

d)

Train 1

45.

Answer the question that follows.

a)

RM

b)

JK

c)

Dave

d)

Ellen

Review of Inequalities in Triangles

Total questions: 45

Worksheet time: 2hrs 15mins

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