# Worksheet: Pythagorean Inequality Theorem

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

Q1:

In triangle , . What type of angle is ?

• Aacute
• Bright
• Cobtuse

Q2:

In triangle , . What type of angle is ?

• Aacute
• Bright
• Cobtuse

Q3:

In triangle , . What type of angle is ?

• Aright
• Bacute
• Cobtuse

Q4:

In triangle , . What type of angle is ?

• Aacute
• Bright
• Cobtuse

Q5:

Determine whether is an obtuse or acute triangle. • Aobtuse
• Bacute

Q6:

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

Q7:

In , suppose that and what kind of angle is ?

• Aobtuse
• Bacute
• Cright

Q8:

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

• A
• B
• C

Q9:

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

• Aan acute-angled triangle
• Ba right-angled triangle
• Can obtuse-angled triangle

Q10:

Consider , where , , and . Is an acute angle?

• AYes
• BNo

Q11:

Consider , where , , and . Is a right angle?

• AYes
• BNo

Q12:

Consider , where , , and . Is  an obtuse angle?

• ANo
• BYes