Triangle Relationships

Is it a Triangle?

100

Do the following lengths form a triangle: 3in, 4in, and 8in? Why or why not?

No, 3+4 is less than 8

200

Do the side lengths 5, 12, and 13 form a triangle? If it does, what type of triangle is it?

Yes, a right triangle

300

Which of the following could be the lengths of the sides of a triangle?

A. 1cm, 5cm, 6cm

B. 1ft, 1ft, 2ft

C. 2in, 7in, 10in

D. 10m, 13m, 18m

D. 10m, 13m, 18m

400

Which of these lengths cannot represent the sides of a triangle?

A. 32, 34, 60

B. 13, 20, 27

C. 28, 30, 58

D. 2, 4, 5

C. 28, 30, 58

500

Which of the following sets of side lengths could produce a triangle? Choose all that apply.

A. 4, 4, 4

B. 5, 5, 10

C. 3, 6, 9

D. 5, 7, 11

E. 5, 6, 13

A. 4, 4, 4

D. 5, 7, 11

Classifying

100

If the lengths of a triangle are the following, what type of triangle is it?

AB= 6.1

BC= 7.4

AC= 8.7

Scalene

200

What type of triangle has base angles that are congruent?

Isosceles Triangle

300

Classify the triangle by its angles. Side lengths are 3ft, 4ft, and 5ft. 

Right Triangle

400

If the angles in a triangle are 50 degrees, 20 degrees, and x degrees, what type of triangle is it?

Obtuse Triangle

500

If the angles in a triangle are 2x, 2x-2, and x-3, what type of triangle is it?

Acute Triangle

Side Lengths

100

What is the smallest side of the triangle?

AC

200

Order the sides from largest to smallest.

DF, DE, EF

300

Order the sides from least to greatest.

BC, AC, AB

400

In triangle VWX, the measure of angle v is 50 degrees, the measure of angle W is 48 degrees, and the measure of angle X is 82 degrees. Order the sides from shortest to longest.

VX, WX, VW

500

In triangle DEF, the measure of angle D is 35 degrees, and the measure of angle F is 95 degrees. Name the longest and shortest side of the triangle.

Longest side: DE

Shortest side: EF

Angles

100

Order the angles from largest to smallest.

angle S, angle R, angle T

200

In triangle GHI, GH=12 cm, HI=7 cm, and GI=9cm. List the angles in order from smallest to largest.

Angle G, Angle H, Angle I

300

Solve for x

x=20.1

400

Solve for x

x= 114

500

Solve for the exterior angle

125 degrees

3rd Side

100

What is the range for the possible third side of a triangle containing side lengths 15 and 22?

7<x<37

200

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?

A. 5 inches

B. 16 inches

C. 29 inches

D. 32 inches

16 inches

300

What is a possible 3rd side to a triangle with side lengths 4cm and 13cm?

10, 11, 12, 13, 14, 15, 16

400

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

A. 6

B. 7

C. 5

D. 4

4

500

What is the range of the possible values of the 3rd side of the triangle?

2<x<15