Pythagorean Theorem and Triangle Types

Pythagorean Theorem and Triangle Types

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial introduces the Pythagorean Theorem, explaining its definition and application in right triangles. It illustrates the theorem with a diagram and examples, including Pythagorean triples. The converse of the theorem is discussed, showing how it can determine if a triangle is right-angled. Extensions of the converse help identify obtuse and acute triangles. The video concludes with examples to reinforce understanding.

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Pythagorean Theorem used for?

Determining the volume of a cube

Finding the length of the hypotenuse in a right triangle

Calculating the area of a circle

Measuring the perimeter of a rectangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a right triangle, which side is the hypotenuse?

The shortest side

The side adjacent to the right angle

The side opposite the right angle

The side opposite the smallest angle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?

7

8

6

5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a Pythagorean triple consist of?

Three irrational numbers

Three fractions

Three positive integers that satisfy the Pythagorean Theorem

Three negative integers

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a Pythagorean triple?

2, 3, 4

5, 12, 13

6, 8, 10

7, 24, 25

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the converse of the Pythagorean Theorem state?

If a² + b² = c², then the triangle is right

If a triangle is right, then a² + b² = c²

If a triangle is obtuse, then a² + b² > c²

If a triangle is acute, then a² + b² < c²

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine if a triangle is obtuse using the converse theorem?

If c² < a² + b²

If c² = a² + b²

If c² > a² + b²

If a² + b² > c²

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