Exploring Pythagorean Inequalities

The video introduces trigonometry, focusing on right triangles and the Pythagorean theorem. It explains Pythagorean triples and their significance in forming right triangles. The converse of the Pythagorean theorem is discussed to classify triangles as right, acute, or obtuse. The video also demonstrates how to apply these concepts to determine triangle types using the coordinate plane.

What does the term 'trigonometry' literally translate to?

• The study of triangles

• The study of angles

• The calculation of radius

• The measurement of circles

What is the longest side of a right triangle called?

• Hypotenuse

• Opposite

• Adjacent

• Leg

According to the Pythagorean theorem, what is the relationship between the sides of a right triangle?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 * b^2 = c^2

• a^2 / b^2 = c^2

Tags

CCSS.8.G.B.8

Which set of numbers is a Pythagorean triple?

• 6, 8, 9

• 5, 12, 13

• 7, 10, 12

• 3, 4, 6

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CCSS.8.G.B.8

How can the Pythagorean theorem be used to find a missing side in a triangle?

• By subtracting the known sides from each other

• By taking the square root of the sum of the squares of the known sides

• By adding the squares of the known sides

• By multiplying the lengths of the known sides

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CCSS.8.G.B.8

What does the converse of the Pythagorean theorem state?

• None of the above

• If the square of the longest side is greater than the sum of the squares of the other two sides, the triangle is right.

• If the square of the longest side is less than the sum of the squares of the other two sides, the triangle is right.

• If the square of the longest side is equal to the sum of the squares of the other two sides, the triangle is right.

Tags

CCSS.8.G.B.8

Which type of triangle is formed if a^2 + b^2 < c^2?

• Equilateral triangle

• Obtuse triangle

• Acute triangle

• Right triangle

Tags

CCSS.8.G.B.8

If a triangle has sides 9, 40, and 41, what type of triangle is it?

• Isosceles triangle

• Acute triangle

• Right triangle

• Obtuse triangle

Tags

CCSS.8.G.B.8

How can the distance formula be used in the context of the Pythagorean theorem?

• To find the length of a side in a coordinate plane

• To determine the area of a triangle

• To calculate the perimeter of a triangle

• To calculate the height of a triangle

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CCSS.HSG.GPE.B.7

What is the result of applying the Pythagorean theorem to the sides of a triangle with lengths square root of 8, square root of 2, and square root of 10?

• Obtuse triangle

• Acute triangle

• Right triangle

• Isosceles triangle

Tags

CCSS.8.G.B.8