Free Printable Triangle Inequality

1.

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

a)

Yes

b)

No

2.

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

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

3.

Can the following side measures form a triangle?
4 cm, 7 cm, 10 cm

a)

Yes

b)

No

4.

Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft

a)

Yes

b)

No

5.

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

a)

Yes

b)

No

c)

I don't know.

6.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$12,12$

a)

$1<x<24$

b)

$4<x<24$

c)

$4<x<23$

d)

$0<x<24$

7.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$10,6$

a)

$4<x<16$

b)

$5<x<15$

c)

$6<x<15$

d)

$4<x<14$

8.

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$8,9$

a)

$1<x<17$

b)

$1<x<13$

c)

$1<x<15$

d)

$2<x<15$

9.

Order the angles of the triangle from smallest to largest

a)

Z, R, O

b)

Z, O, R

c)

R, O, Z

10.

Order the angles of the triangle from smallest to largest

a)

B, C, A

b)

A, B, C

c)

A, C, B

11.

Order the sides of the triangle from shortest to longest

a)

TA, RT, AR

b)

RT, AR, TA

c)

AR, RT, TA

12.

Order the sides of the triangle from shortest to longest

a)

LO, BL, BO

b)

BO, BL, LO

c)

BL, LO, BO

13.

Order the sides of the triangle from shortest to longest

a)

JL, JK, LK

b)

LK, JK, JL

c)

JK, JL, LK

14.

In ∆XYZ, the angles have the following measures:

m∠x = 40°; m∠y = 60°; m∠z = 80°

Which list shows the sides in order from longest to shortest? (You may want to draw/ label triangle)

a)

XY, XZ, YZ

b)

XY, YZ, XZ

c)

YZ, XZ, XY

d)

ZY, XY, ZX

15.

Look at the sides of this triangle. What type of triangle is this?

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

16.

Look at the sides of this triangle. What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

17.

What type of triangle is shown? Lok at your congruent markers!

a)

Isosceles

b)

Right

c)

Equilateral

d)

Scalene

18.

In an ______________ triangle, all three angles are less than 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

19.

Look at the angles in this triangle. What kind of triangle is this?

a)

acute

b)

right

c)

obtuse

d)

360 degrees

20.

Look at the sides and angles of this triangle. Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

21.

If a triangle has one angle greater than 90° and no equal sides, what type of triangle is it?

a)

Acute Isosceles

b)

Acute Scalene

c)

Obtuse Scalene

d)

Obtuse Isosceles

22.

Find the measure of the indicated angle.

a)

$135\degree$

b)

$55\degree$

c)

$45\degree$

d)

$60\degree$

23.

Write and solve an equation to find x.

a)

x = 23.5

b)

x = 23

c)

x = 46

d)

x = 67

24.

Triangle ABC has the following side lengths: AB=34 cm, BC = 42 cm, and AC=23 cm. List the angles in order from smallest to largest. Draw a diagram!

a)

B, C, A

b)

A, B, C

c)

C, B, A

d)

B, A, C

25.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

Triangle Inequality

Total questions: 25

Worksheet time: 51mins

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