# Lesson Worksheet: Pythagorean Inequality Theorem Mathematics • 8th Grade

In this worksheet, we will practice determining whether an angle in a triangle is acute, right, or obtuse by using the Pythagorean inequality theorem.

Q1:

In triangle , . What type of angle is ?

• Aacute
• Bright
• Cobtuse

Q2:

In triangle , . What type of angle is ?

• Aright
• Bacute
• Cobtuse

Q3:

In a triangle , if , which angle is the right angle?

• A
• B
• C

Q4:

Consider , with , , and . What kind of triangle is this, in terms of its angles?

• AAn acute triangle
• BA right triangle
• CAn obtuse triangle

Q5:

If is a triangle whose side lengths are 11 cm, 26.4 cm, and 28.6 cm and is similar to a triangle , determine the type of in terms of its angles.

• Aacute
• Bright
• Cobtuse

Q6:

Determine the type of in terms of its angles.

• AObtuse triangle
• BAcute triangle
• CRight triangle

Q7:

Triangle has side lengths , , and .

Determine the angle with the greatest measure in .

• A
• B
• C

Determine the type of in terms of its angles.

• ARight triangle
• BAcute triangle
• CObtuse triangle

Q8:

is a parallelogram. If , , and , what is the type of ?

• AAcute triangle
• BRight triangle
• CObtuse triangle

Q9:

Given that , , and , what type is the largest angle?

• AObtuse
• BAcute
• CRight

Q10:

Classify the triangle , where and and where is a rectangle.

• ARight triangle
• BAcute triangle
• CObtuse triangle