Exploring the Pythagorean Theorem and Radicals

What theorem is used to find the missing side of a right triangle?

• Theorem of calculus

• Pythagorean theorem

• Euclidean theorem

• Quadratic theorem

Tags

CCSS.8.G.B.8

What does the Pythagorean theorem state about 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

If one leg of a right triangle is the square root of 5, what is the square of this leg?

• 10

• 25

• 7

• 5

Tags

CCSS.8.G.B.7

How do you find the hypotenuse when the legs are known?

• Subtract the squares of the legs and take the square root

• Multiply the legs and take the square root

• Divide the squares of the legs and take the square root

• Add the squares of the legs and take the square root

Tags

CCSS.8.G.B.8

How do you simplify the square root of 12?

• 2 * sqrt(6)

• 3 * sqrt(4)

• 2 * sqrt(3)

• sqrt(6) * sqrt(2)

What is the simplified form of the hypotenuse when the legs are sqrt(5) and sqrt(7)?

• sqrt(12)

• 2 * sqrt(3)

• sqrt(35)

• 3 * sqrt(4)

Tags

CCSS.8.G.B.7

What is the correct simplification process for a radical like sqrt(12)?

• Add sqrt(4) and sqrt(3)

• Multiply by sqrt(2)

• Break down into sqrt(4) * sqrt(3)

• Divide by sqrt(2)

In the second example, what are the lengths of the legs of the triangle?

• sqrt(10) and sqrt(8)

• sqrt(10) and sqrt(6)

• sqrt(8) and sqrt(6)

• sqrt(9) and sqrt(7)

Tags

CCSS.8.G.B.7

What is the result of squaring the square root of 10?

• 10

• 100

• sqrt(10)

• 20

Tags

CCSS.HSN.RN.A.2

What is the simplified form of the square root of 18?

• 3 * sqrt(2)

• 6 * sqrt(3)

• 9 * sqrt(2)

• sqrt(9) * 2