Understanding the Pythagorean Theorem and Area of Squares

What type of triangle is necessary for applying the Pythagorean Theorem?

• Right triangle

• Isosceles triangle

• Scalene triangle

• Equilateral triangle

In a 3-4-5 triangle, what is the square of the hypotenuse?

• 25

• 16

• 36

• 9

How is the area of a square related to its side length?

• Area is half the side length

• Area is the side length squared

• Area is the side length cubed

• Area is double the side length

What is the area of a square with a side length of 5?

• 25

• 15

• 10

• 20

If the hypotenuse of a right triangle is 13 and one leg is 5, what is the area of the square on the other leg?

• 25

• 169

• 49

• 144

Given the areas of two squares as 576 and 625, what is the area of the third square?

• 144

• 49

• 121

• 100

What is the side length of a square with an area of 49?

• 8

• 5

• 6

• 7

If one side of a triangle is 30 cm and the area of the square on another side is 256 cm², what is the hypotenuse?

• 32 cm

• 34 cm

• 36 cm

• 38 cm

What is the square root of 1156?

• 33

• 32

• 34

• 35

What is the relationship between the areas of squares on the legs and hypotenuse of a right triangle?

• The areas are unrelated

• The area of the square on the hypotenuse is half the sum of the areas of the squares on the legs

• The area of the square on the hypotenuse is double the sum of the areas of the squares on the legs

• The sum of the areas of the squares on the legs equals the area of the square on the hypotenuse