Exploring the Pythagorean Theorem Concepts

What is the hypotenuse in a right triangle?

• The shortest side of the triangle

• The longest side opposite the right angle

• One of the legs of the triangle

• The area of the triangle

Which statement is true about the Pythagorean theorem?

• It proves that all sides are equal

• It applies only to equilateral triangles

• It is used to calculate the area of a triangle

• It helps determine if a triangle is a right triangle

If a triangle has sides of lengths 6, 5, and 8, is it a right triangle?

• Yes, it follows the Pythagorean theorem

• Cannot be determined without more information

• No, it does not satisfy the Pythagorean theorem

• Yes, because 8 is the largest number

What is the first step in identifying if a triangle is a right triangle using side lengths?

• Calculate the area of the triangle

• Draw the triangle accurately

• Find the longest side and label it as 'c'

• Measure each angle with a protractor

What is the result of 9 squared plus 12 squared?

• 144

• 81

• 205

• 225

In the absence of a visual triangle, how do you determine the sides?

• Estimate based on given numbers

• Calculate using the Pythagorean theorem

• Use a protractor

• Guess based on previous examples

How do you find a missing side labeled 'c' in a right triangle?

• Divide the square of the hypotenuse by one side

• Subtract the square of one side from the other

• Add the squares of the other two sides

• Multiply the squares of the other two sides

What is the approximate value of the square root of 205?

• 16.10 inches

• 13.45 inches

• 15.25 inches

• 14.32 inches

If the hypotenuse is 31.7 and one side is 7.5, what is the length of the other side?

• 25.3 inches

• 32.1 inches

• 30.8 inches

• 28.5 inches

What is the correct calculation for a side labeled 'b' if 12 squared plus b squared equals 37 squared?

• 30 meters

• 35 meters

• 40 meters

• 25 meters