Understanding the Pythagorean Theorem

What is the Pythagorean theorem primarily used for?

• Calculating the area of circles

• Determining the length of the hypotenuse in right triangles

• Measuring the volume of solids

• Solving algebraic equations

Tags

CCSS.8.G.B.8

What angle measurement defines a right triangle?

• 45 degrees

• 90 degrees

• 180 degrees

• 60 degrees

Tags

CCSS.7.G.B.5

Which side of a right triangle is the hypotenuse?

• The side opposite the right angle

• The shortest side

• The side adjacent to the right angle

• Any side of the triangle

Tags

CCSS.HSG.SRT.C.8

How do you identify the hypotenuse in a right triangle?

• It is opposite the right angle

• It is the shortest side

• It is adjacent to the right angle

• It is the side with the smallest angle

According to the Pythagorean theorem, how do you find the length of the hypotenuse?

• A + B = C

• A squared + B squared = C squared

• A squared - B squared = C squared

• A + B squared = C

Tags

CCSS.8.G.B.8

If one side of a right triangle is 3 and the other is 4, what is the length of the hypotenuse?

• 9

• 7

• 5

• 6

Tags

CCSS.8.G.B.7

What is the purpose of taking the principal root in the Pythagorean theorem?

• To simplify the equation

• To determine the positive distance

• To calculate the area

• To find the negative distance

Tags

CCSS.8.EE.A.2

What does the Pythagorean theorem state about the sides of a right triangle?

• The longest side is twice the length of the shortest side

• The sum of the squares of the two shorter sides equals the square of the longest side

• The area of the triangle can be found using the three sides

• The sum of the angles equals 180 degrees

Tags

CCSS.8.G.B.8

In a right triangle, if the hypotenuse is 12 and one side is 6, what is the formula to find the other side?

• B squared = 12 squared - 6 squared

• 6 squared - B squared = 12 squared

• 6 + B = 12

• 6 squared + B squared = 12 squared

Tags

CCSS.8.G.B.7

What is the square root of 108 simplified?

• 9 square roots of 2

• 6 square roots of 3

• 3 square roots of 6

• 12 square roots of 3

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2