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
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