Finding Hypotenuse Using Pythagorean Theorem

What is the Pythagorean theorem used for?

• Solving quadratic equations.

• Calculating the area of a circle.

• Finding the length of a side of a right triangle.

• Determining the volume of a rectangular prism.

Tags

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

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

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

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

If the length of one side of a right triangle is 8 and the length of the hypotenuse is 10, what is the length of the other side?

• 6

• 2

• 4

• 12

Tags

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

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

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

If the length of one side of a right triangle is 15 and the length of the hypotenuse is 17, what is the length of the other side?

• 8

• 6

• 12

• 10

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

solve for c

• 7

• 9

• 4

• 13

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be to the nearest whole?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

what is the formula for finding the hypotnuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

Which statement could you use to make the proof of Pythagorean Theorem using the diagram?

• Because 3+4=7, the Pythagorean Theorem is a²+b²=c².

• Because 9+16=25, the Pythagorean Theorem is a+b=c.

• Because 3+4=7, the Pythagorean Theorem is a+b=c.

• Because 9+16=25, the Pythagorean Theorem is a²+b²=c².

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

• 210 m

• 180 m

• 150 m

• 79 m