Types of Triangles

Name:

Class:

Date:

Show your work for each problem.

1.
A triangle has all three sides measuring 7 cm. What type of triangle is this?
1. a)Isosceles
2. b)Right
3. c)Equilateral
4. d)Scalene
2.
A triangle has angles measuring , , and . What type of triangle is this by angles?
1. a)Right
2. b)Equilateral
3. c)Obtuse
4. d)Acute
3.
Which triangle type has exactly one angle equal to ?
1. a)Right triangle
2. b)Acute triangle
3. c)Obtuse triangle
4. d)Equilateral triangle
4.
A triangle has sides of 5 cm, 5 cm, and 7 cm, with angles of , , and . What is its complete classification?
1. a)Right isosceles
2. b)Obtuse isosceles
3. c)Acute isosceles
4. d)Obtuse scalene
5.
A triangle has angles of , , and . What type is it by sides?
1. a)Cannot determine
2. b)Equilateral
3. c)Isosceles
4. d)Scalene
6.
A triangle has sides of 3 cm, 4 cm, and 5 cm. Is it equilateral, isosceles, or scalene?
7.
A triangle has angles of , , and . What type is it by angles?
8.
A triangle has angles of and . What is the third angle in degrees? (Enter just the number)
9.
A triangle has angles of and . What is the third angle in degrees?
10.
An isosceles triangle has one angle of . If this is NOT one of the equal angles, what are the two equal angles? (Enter one value)
11.
Classify the triangle with sides 8 cm, 8 cm, and 8 cm.
12.
Classify the triangle with angles , , and .
13.
Find the third angle and classify a triangle with angles and .
14.
A triangle has sides 6 cm, 6 cm, and 10 cm. Classify it by sides and explain why.
15.
A triangle has angles and . Find the third angle and classify it by angles.
16.
Double classify a triangle with sides 5 cm, 12 cm, 13 cm and angles , , .
17.
An isosceles triangle has a vertex angle of . Find the base angles and give the complete classification.
18.
Can a triangle have angles , , and ? Verify and classify it if valid.