Notes on the Pythagorean Theorem

Do the following lengths form a right triangle? If so, do they form a Pythagorean Triple? 1) 20 cm, 30 cm, 40 cm

• Yes, they form a right triangle and a Pythagorean Triple

• Yes, they form a right triangle but not a Pythagorean Triple

• No, they do not form a right triangle

Do the following lengths form a right triangle? If so, do they form a Pythagorean Triple? 11 ft, 60 ft, 61 ft

• Yes, they form a right triangle and a Pythagorean Triple

• Yes, they form a right triangle but not a Pythagorean Triple

• No, they do not form a right triangle

Do the following lengths form a right triangle? If so, do they form a Pythagorean Triple? 0.9 m, 1.2 m, 1.5 m

• Yes, they form a right triangle and a Pythagorean Triple

• Yes, they form a right triangle but not a Pythagorean Triple

• No, they do not form a right triangle

Practice: Do the following lengths form a right triangle? If so, do they form a Pythagorean Triple? 4) 10 in, 32 in, 38 in

• Yes, they form a right triangle and a Pythagorean Triple

• Yes, they form a right triangle but not a Pythagorean Triple

• No, they do not form a right triangle

Applications: Find the perimeter of the right triangle. The sides are 6 ft and 4 ft.

• 10 ft

• 12 ft

• 14 ft

• 16 ft

Applications: Find the perimeter of the trapezoid. The sides are 3 in., 4 in., and 2 in.

Evaluate responses using AI:

OFF

Find the length of a diagonal of a square with a perimeter of 16 cm. Draw a picture.

• 2√2 cm

• 4 cm

• 4√2 cm

• 8 cm

Find the height of an equilateral triangle with a perimeter of 15 ft. Draw a picture.

• 2.5 ft

• 3.5 ft

• 4.3 ft

• 5 ft

Find the dimensions of a square computer screen with a diagonal of 18 inches. What is the length of each side?

• 12.73 inches

• 14.14 inches

• 15.56 inches

• 16.97 inches