Pythagorean Triples

What is the value of c in the Pythagorean theorem if a = 12 and b = 5?

• c = 10

• c = 12

• c = 13

• c = 15

What is a Pythagorean Triple?

• A set of three positive integers a, b, and c that satisfy the equation a² + b² = c².

• A group of three angles that sum up to 180 degrees.

• A collection of three sides of a triangle that are all equal in length.

• A set of three numbers that can form a geometric sequence.

Can Pythagorean Triples include non-integer values?

• Yes, they can include non-integer values.

• No, Pythagorean Triples consist of only positive integers.

• Yes, they can include negative integers.

• Pythagorean Triples can include both integers and fractions.

What is the relationship between the sides of a right triangle?

• The sum of the lengths of the two shorter sides is equal to the length of the hypotenuse.

• The square of the hypotenuse is equal to the sum of the squares of the other two sides.

• The product of the lengths of the two shorter sides is equal to the length of the hypotenuse.

• The length of the hypotenuse is always greater than the length of either of the other two sides.

What is the smallest Pythagorean Triple?

• 2, 3, 4

• 3, 4, 5

• 5, 12, 13

• 6, 8, 10

What is the formula for the Pythagorean theorem?

• a² + b² = c², where c is the hypotenuse.

• a² - b² = c²

• c² = a + b

• c = √(a² + b²)

If a = 8 and b = 15, what is c?

• c = 12

• c = 15

• c = 17

• c = 20

If a = 5 and c = 13, what is b?

• b = 10

• b = 11

• b = 12

• b = 14

Identify a Pythagorean Triple: 3,8,11; 7,14,15; 8,15,17; 4.5,12,13

• 3,8,11

• 7,14,15

• 8,15,17

• 4.5,12,13

Identify a Pythagorean Triple: 1,1,1; 7,14,16; 12,13,16; 5,12,13

• 1,1,1

• 7,14,16

• 12,13,16

• 5,12,13