Solving Quadratic Equations and Pythagorean Theorem

What is the Pythagorean theorem?

• The Pythagorean theorem is a mathematical principle that relates the lengths of the sides of a right-angled triangle.

• The Pythagorean theorem is a concept in geometry that deals with angles and lines.

• The Pythagorean theorem is used to calculate the perimeter of a square.

• The Pythagorean theorem is a formula for finding the area of a circle.

Tags

CCSS.MATH.CONTENT.8.G.B.6

CCSS.MATH.CONTENT.8.G.B.8

CCSS.MATH.CONTENT.8.G.B.7

What is the formula to find the length of a side using the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 + b^2 = c

• a^2 - b^2 = c^2

• a + b = c

Tags

CCSS.MATH.CONTENT.8.G.B.6

CCSS.MATH.CONTENT.8.G.B.7

CCSS.MATH.CONTENT.8.G.B.8

How can the Pythagorean theorem be proven?

• The Pythagorean theorem can be proven using geometric or algebraic proofs.

• The Pythagorean theorem can be proven using guesswork.

• The Pythagorean theorem can be proven using calculus.

• The Pythagorean theorem can be proven using trigonometric functions.

Tags

CCSS.MATH.CONTENT.8.G.B.8

CCSS.MATH.CONTENT.8.G.B.7

CCSS.MATH.CONTENT.8.G.B.6

If the lengths of two sides of a right triangle are 3 and 4, what is the length of the third side?

• 5

• 6

• 7

• 8

Tags

CCSS.MATH.CONTENT.8.G.B.6

CCSS.MATH.CONTENT.8.G.B.8

CCSS.MATH.CONTENT.8.G.B.7

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

What are the solutions for this quadratic equation?

• -4 and 0

• 4 and 0

• -2 and 4

• -2 and -4

What are the solutions to the quadratic equation?

• x = -4

• x = 1

• x = -1

• x = 2

• x = 4

If the lengths of two sides of a right triangle are 5 and 12, what is the length of the third side?

• 15

• 10

• 7

• 13

Tags

CCSS.MATH.CONTENT.8.G.B.7

CCSS.MATH.CONTENT.8.G.B.6

CCSS.MATH.CONTENT.8.G.B.8