Exploring the Pythagorean Theorem in Right Triangles

This video tutorial explains how to use the Pythagorean theorem to find missing sides in right triangles. It covers the basic equation a² + b² = c², where a and b are the legs and c is the hypotenuse. The video provides examples of finding both the hypotenuse and a missing leg, demonstrating calculations and the use of a scientific calculator for square roots. It also offers tips on rounding decimals when dealing with non-perfect squares.

What is the formula for the Pythagorean theorem?

• a² + b² = c²

• a² + b² + c²

• 2a + 2b = c

• a³ + b³ = c³

Which sides of the triangle are called the legs?

• The shortest side of the triangle

• The side opposite the right angle

• The sides forming the right angle

• The longest side of the triangle

In a right triangle with legs of 3 and 4 units, what is the length of the hypotenuse?

• 5 units

• 6 units

• 9 units

• 7 units

If the legs of a triangle are 7 and 24 units, what is the length of the hypotenuse?

• 25 units

• 31 units

• 26 units

• 29 units

How do you find a missing leg in a right triangle if you know the hypotenuse and the other leg?

• Divide the hypotenuse by the known leg

• Multiply the known leg by the hypotenuse

• Add the squares of the hypotenuse and the known leg

• Subtract the square of the known leg from the square of the hypotenuse and take the square root

What is the missing leg length if the hypotenuse is 15 units and the other leg is 12 units?

• 11 units

• 8 units

• 9 units

• 10 units

What is the length of the missing leg if the hypotenuse is 82 units and the other leg is 18 units?

• 80 units

• 79 units

• 81 units

• 78 units

How do you calculate the square root of a non-perfect square number?

• Use a scientific calculator

• Multiply the number by itself

• Subtract 1 from the number and find the square root

• Add 1 to the number and find the square root

What is the approximate value of the square root of 144?

• 11.89

• 12.30

• 12.00

• 12.17

When rounding the square root of a non-perfect square to the nearest hundredth, what digit do you look at to decide whether to round up?

• The third digit after the decimal

• The first digit after the decimal

• The second digit after the decimal

• The fourth digit after the decimal