Pythagorean Theorem and Right Triangles

In this video, Mr. Jay explains how to find unknown side lengths of right triangles using the Pythagorean theorem. The video covers two examples: finding the hypotenuse and finding a missing leg, both involving decimal side lengths. The process involves using the equation a² + b² = c², where a and b are the legs and c is the hypotenuse. The video demonstrates how to solve these equations and round the results to the tenths place. The tutorial concludes with a summary of the methods used.

What is the Pythagorean theorem used for?

• Finding the length of a side in a right triangle

• Finding the area of a triangle

• Finding the volume of a cube

• Finding the circumference of a circle

Tags

CCSS.8.G.B.8

In the Pythagorean theorem, which side is always the hypotenuse?

• Side A

• Side B

• Side C

• Any side can be the hypotenuse

Tags

CCSS.8.G.B.7

If the legs of a right triangle are 6.7 feet and 15.2 feet, what is the first step to find the hypotenuse?

• Add the lengths of the legs

• Square the lengths of the legs

• Subtract the lengths of the legs

• Multiply the lengths of the legs

Tags

CCSS.7.EE.B.3

What is the sum of the squares of 6.7 and 15.2?

• 16.61

• 231.04

• 44.89

• 275.93

Tags

CCSS.8.G.B.8

What is the approximate length of the hypotenuse if the sum of the squares of the legs is 275.93?

• 17.1 feet

• 16.6 feet

• 18.3 feet

• 15.2 feet

Tags

CCSS.8.G.B.7

If one leg of a right triangle is 8.3 meters and the hypotenuse is 12.6 meters, what is the first step to find the missing leg?

• Add the lengths of the given sides

• Square the lengths of the given sides

• Subtract the lengths of the given sides

• Multiply the lengths of the given sides

Tags

CCSS.7.EE.B.3

What is the square of 8.3 meters?

• 68.89

• 158.76

• 89.87

• 12.6

Tags

CCSS.6.NS.B.3

What is the result of subtracting 68.89 from 158.76?

• 90.76

• 90.87

• 89.76

• 89.87

Tags

CCSS.8.G.B.8

What is the approximate length of the missing leg if the result of the subtraction is 89.87?

• 9.5 meters

• 8.3 meters

• 10.2 meters

• 11.4 meters

Tags

CCSS.8.G.B.7

What is the final step to find the length of the missing leg?

• Square the lengths of the given sides

• Add the lengths of the given sides

• Multiply the lengths of the given sides

• Take the square root of the result

Tags

CCSS.8.G.B.7