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Exploring the Pythagorean Theorem Proof

Exploring the Pythagorean Theorem Proof

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Hard

CCSS
8.G.B.8, 8.G.B.7, 3.MD.C.5A

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.8.G.B.8
,
CCSS.8.G.B.7
,
CCSS.3.MD.C.5A
The video tutorial explains the Pythagorean theorem using a right triangle with sides of 3 and 4. It demonstrates how to calculate the area of squares drawn on the triangle's legs and shows that the sum of these areas equals the area of the square on the hypotenuse. The tutorial includes a coloring exercise to help visualize the theorem, reinforcing the concept that the area of the squares on the legs equals the area of the square on the hypotenuse.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of each side of the right triangle mentioned at the beginning?

4 and 5

2 and 3

5 and 6

3 and 4

Tags

CCSS.8.G.B.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area of the square drawn off the shorter leg of the triangle?

25

16

12

9

Tags

CCSS.8.G.B.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area of the square drawn off the longer leg of the triangle?

12

16

25

9

Tags

CCSS.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the Pythagorean theorem, what is the sum of the areas of the squares on the two legs?

29

34

25

45

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the hypotenuse in the right triangle?

8

7

5

6

Tags

CCSS.8.G.B.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the area of the square on the hypotenuse related to the areas of the squares on the other two sides?

It is twice the area of the larger square.

It is half the sum of the other two areas.

It is the sum of the other two areas.

It is the difference between the two areas.

Tags

CCSS.8.G.B.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical operation is used to find the length of the hypotenuse from its area?

Square root

Subtraction

Multiplication

Division

Tags

CCSS.8.G.B.8

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