Finding Missing Legs in Right Triangles

In this video, Mr. Jay explains how to use the Pythagorean theorem to find the length of a missing leg in a right triangle. He provides two examples, demonstrating the step-by-step process of solving for the missing side using the formula a² + b² = c². The video concludes with a summary of the method and its application.

What is the formula for the Pythagorean Theorem?

• a^2 - b^2 = c^2

• a^2 + b^2 = 2c

• 2a + 2b = c^2

• a^2 + b^2 = c^2

Tags

CCSS.8.G.B.8

In a right triangle, what does 'c' represent in the Pythagorean Theorem?

• The hypotenuse

• The area

• One of the legs

• The perimeter

Tags

CCSS.8.G.B.8

What does 'a' and 'b' represent in the Pythagorean Theorem?

• The hypotenuses

• The perimeters of the triangle

• The areas of the triangle

• The legs of the right triangle

Tags

CCSS.8.G.B.8

If one leg of a right triangle is 5 yards and the hypotenuse is 13 yards, what is the length of the missing leg?

• 8 yards

• 12 yards

• 13 yards

• 6 yards

Tags

CCSS.8.G.B.7

How do you find the length of a missing leg in a right triangle?

• Add the squares of the two given sides

• Subtract the square of the given leg from the square of the hypotenuse

• Multiply the given sides and take the square root

• Divide the hypotenuse by the given leg

Tags

CCSS.8.G.B.7

What is the result of subtracting 25 from 169 in the process of finding the missing leg?

• 194

• 144

• 154

• 134

Tags

CCSS.8.G.B.8

What is the approximate length of the missing leg if the hypotenuse is 9 meters and one leg is 4 meters?

• 8.06 meters

• 5.83 meters

• 7.21 meters

• 6.40 meters

Tags

CCSS.8.G.B.7

Why do we take the square root in the Pythagorean Theorem?

• To double the length of the hypotenuse

• To calculate the area of the triangle

• To isolate the variable representing the missing side

• To find the square of the missing side

Tags

CCSS.8.G.B.8

What property of the square root of 65 is mentioned in the video?

• It is an irrational number

• It is a perfect square

• It is a rational number

• It is an integer

Tags

CCSS.8.NS.A.1

How is the square root of 65 approximated in the video?

• It is not approximated

• To three decimal places

• To two decimal places

• To the nearest whole number

Tags

CCSS.8.NS.A.2