Finding Missing Side Lengths with the Pythagorean Theorem

This video tutorial by Mr. Jay explains how to find unknown side lengths of a right triangle using the Pythagorean theorem. It covers finding the hypotenuse and a missing leg through step-by-step examples, demonstrating the use of the formula a² + b² = c². The video includes calculations with both perfect squares and irrational numbers, providing rounded decimal approximations where necessary.

What is the formula of the Pythagorean Theorem?

• 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

In the Pythagorean Theorem, which side is represented by 'c'?

• The shortest leg

• The longest leg

• The hypotenuse

• Any side

Tags

CCSS.8.G.B.8

What is the first step in using the Pythagorean Theorem to find a missing side?

• Square the hypotenuse

• Identify which sides are given

• Take the square root of the hypotenuse

• Add the squares of the legs

Tags

CCSS.8.G.B.8

If a right triangle has legs of 8 meters and 6 meters, what is the length of the hypotenuse?

• 6 meters

• 10 meters

• 14 meters

• 8 meters

Tags

CCSS.8.G.B.7

How do you isolate 'c' when using the Pythagorean Theorem?

• Subtract a^2 from both sides

• Add b^2 to both sides

• Multiply both sides by c

• Take the square root of both sides

Tags

CCSS.8.G.B.8

For a right triangle with legs measuring 10 feet and 7 feet, approximately how long is the hypotenuse?

• 12.21 feet

• 7 feet

• 10 feet

• 17 feet

Tags

CCSS.8.G.B.7

When finding the length of a missing leg in a right triangle, what is subtracted from c^2?

• The square root of c

• b^2

• The square root of a

• a^2

Tags

CCSS.8.G.B.7

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

• 6 yards

• 5 yards

• 13 yards

• 12 yards

Tags

CCSS.8.G.B.7

For a right triangle with a hypotenuse of 9 meters and one leg of 4 meters, what is the approximate length of the missing leg?

• 4 meters

• 5 meters

• 8.06 meters

• 9 meters

Tags

CCSS.8.G.B.7

What is the significance of rounding to the hundredths place when dealing with irrational numbers?

• It offers a more accurate approximation

• It is easier to remember

• It simplifies the equation

• It provides an exact value

Tags

CCSS.8.NS.A.2