8th Grade Pythagorean Theorem

What is the relationship between the sides of a right triangle?

• The square of the hypotenuse is equal to the sum of the squares of the other two sides.

• The sum of the lengths of the two shorter sides is equal to the length of the hypotenuse.

• The product of the lengths of the two shorter sides is equal to the length of the hypotenuse.

• The length of the hypotenuse is always greater than the sum of the other two sides.

Tags

CCSS.8.G.B.8

If a right triangle has a hypotenuse of 13 and one leg of 5, what is the length of the other leg?

• 10

• 11

• 12

• 14

Tags

CCSS.8.G.B.7

How can you determine if three lengths can form a right triangle?

• Check if a² + b² = c² holds true for the lengths.

• Ensure that the sum of the two shorter lengths is greater than the longest length.

• Verify that all three lengths are equal.

• Calculate the area of the triangle formed by the lengths.

Tags

CCSS.8.G.B.8

What is the distance formula derived from the Pythagorean Theorem?

• Distance = √((x2 - x1)² + (y2 - y1)²)

• Distance = (x2 - x1) + (y2 - y1)

• Distance = √((x2 + x1)² + (y2 + y1)²)

• Distance = |x2 - x1| + |y2 - y1|

Tags

CCSS.HSG.GPE.B.7

If the lengths of the legs of a triangle are 15 and 12, what is the length of the hypotenuse?

• 15

• 18

• 20

• 22

Tags

CCSS.8.G.B.7

Do the segment lengths 15, 12, and 9 form a right triangle?

• Yes, they satisfy the Pythagorean Theorem.

• No, they do not satisfy the Pythagorean Theorem.

• Only two of the segments can form a right triangle.

• The segments can form an obtuse triangle.

Tags

CCSS.8.G.B.8

What are the legs of a right triangle called?

• Sides a and b

• Hypotenuse

• Base and height

• Opposite and adjacent

What is the significance of the Pythagorean Theorem in real-world applications?

• It is primarily used in cooking and food preparation.

• It is used to calculate distances and relationships in various fields such as architecture, navigation, and physics.

• It helps in determining the best routes for public transportation.

• It is mainly applied in the field of literature and writing.

Tags

CCSS.8.G.B.8

What type of triangle does the Pythagorean Theorem apply to?

• Equilateral triangles

• Isosceles triangles

• Right triangles

• Scalene triangles

Tags

CCSS.8.G.B.8

In a right triangle, if one leg is 6 and the hypotenuse is 10, what is the length of the other leg?

• 6

• 8

• 10

• 12

Tags

CCSS.8.G.B.7