Pythagorean Theorem, Pythagorean Converse, Special Right Triangles

Find x.

• 10

• 10√3

• 10√2

• 20

Find x.

• 22

• 11√3

• 11√2

• 11

Which of these variables is used to represent the HYPOTENUSE?

• a

• b

• c

• d

(Use Pythagorean Theorem)

• 22 in

• 23 in

• 24 in

• 25 in

If c² is LESS THAN the sum of a² + b², then the triangle is ______________.

• acute

• obtuse

• right

• left

In a 45, 45, 90 triangle, why are both legs labeled as "s"?

• Because a 45, 45, 90 triangle is scalene.

• Because a 45, 45, 90 triangle is isosceles.

• Because a 45, 45, 90 triangle is equilateral.

• Because a 45, 45, 90 triangle is obtuse.

Use the 45, 45, 90 Triangle Theorem to solve for x and y.

• x= 20, y=20

• x= 20, y=45

Use the 30, 60, 90 Triangle Theorem to solve for x and y.

• x=4, y=4

• x=4, y=8

• x=8, y=4

What theorem would you use to solve this problem?

• Pythagorean Theorem

• Converse of the Pythagorean Theorem

• 45, 45, 90 Triangle Theorem

• 30, 60, 90 Triangle Theorem

Which of the following statements is true for the converse of the Pythagorean theorem?

• If the square of the longest side of a triangle equals the sum of the squares of the other two sides, then the triangle is a right triangle.

• If the square of the longest side of a triangle is less than the sum of the squares of the other two sides, then the triangle is a right triangle.

• If the square of the longest side of a triangle is more than the sum of the squares of the other two sides, then the triangle is a right triangle.

• None of the above.