Pythagorean Theorem Triples and Triangles

Can a right triangle have sides of length
 7, 24, and 25?

• Yes. 7-24-25 is a triple

• No. 7-24-25 is not a triple

Which of the following completes the Pythagorean Triple 9, 40, _____?

• 41

• 49

• 50

• 80

Find the value of x.

• 7

• 8

• 9

• 10

What is the hypotenuse if two sides are 6 and 8?

• 10

• 12

• 13

• not enough information

Why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet?

• 10 + 60 is greater than 65

• 65 - 60 does not equal 10

• 10² + 60² does not equal 65²

• (10 + 60)² does not equal 65²

Does the set of numbers represent a Pythagorean Triple.
4, 5, 6

• Yes

• No

What type of triangle is involved in the Pythagorean theorem?

• Equilateral triangle

• Isosceles triangle

• Scalene triangle

• Right triangle

How do you solve for a missing side length in a right triangle using the Pythagorean theorem?

• Apply the Pythagorean theorem formula: a^2 + b^2 = c^2, where 'a' and 'b' are the known side lengths and 'c' is the hypotenuse. Solve for the missing side length by taking the square root of the result.

• Subtract the two known side lengths

• Multiply the two known side lengths

• Divide the two known side lengths

If the legs of a right triangle are 3 and 4, what is the length of the hypotenuse?

• 7

• 6

• 5

• 8

In a right triangle with sides of 5, 12, and x, what is the value of x?

• 8.2

• 7.5

• 15.3

• 10.91