Exploring the Pythagorean Theorem

The video tutorial introduces Pythagoras Theorem, explaining the concept of right angle triangles and the hypotenuse. It details the Pythagorean formula, showing how to calculate the length of a triangle's side when the other two are known. The tutorial includes examples, demonstrating the application of the theorem in different scenarios, such as calculating the diagonal of a rectangle. It concludes with a call to action for viewers to engage with the content and offers additional resources for further learning.

What is the longest side of a right-angled triangle called?

• Base

• Opposite

• Adjacent

• Hypotenuse

How is the hypotenuse positioned in relation to the right angle in a right-angled triangle?

• Parallel to the base

• Adjacent to it

• Opposite to it

• At a 45-degree angle

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CCSS.HSG.CO.C.10

In Pythagoras theorem, which letter represents the hypotenuse?

• B

• D

• C

• A

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CCSS.8.G.B.8

How do you calculate the hypotenuse if the other two sides are known?

• A + B = C

• A^2 + B^2 = C^2

• A^2 - B^2 = C^2

• A/B = C

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CCSS.8.G.B.8

What is the purpose of Pythagoras theorem?

• To calculate the area of a triangle

• To prove that a triangle is right-angled

• To find the length of one side of a right-angled triangle when the other two are known

• To determine the angles of a triangle

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CCSS.8.G.B.8

Can Pythagoras theorem be applied to shapes other than triangles?

• Yes, but only to rectangles and squares

• No, only to triangles

• Yes, to any shape

• Yes, but only to circles

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CCSS.8.G.B.8

If one side of a right-angled triangle is 3 cm and another is 4 cm, what is the length of the hypotenuse?

• 8 cm

• 6 cm

• 5 cm

• 7 cm

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CCSS.8.G.B.7

What is the first step in applying Pythagoras theorem to find an unknown side?

• Square root both sides

• Multiply the sides by 2

• Identify the known sides

• Calculate the area of the triangle

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CCSS.8.G.B.8

If the hypotenuse of a right-angled triangle is 10 mm and one side is 7 mm, what is the length of the other side?

• 3 mm

• 17 mm

• 7.14 mm

• 5 mm

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CCSS.8.G.B.7

What is the diagonal distance of a rectangle with a height of 8 cm and a length of 17 cm?

• 25 cm

• 15 cm

• 20 cm

• 18.8 cm

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CCSS.8.G.B.8