Pythagorean and Special Triangles

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Use the Pythagorean Theorem to solve for x.

• 5√13
• 11√3
• √33
• √65

Use the 45-45-90 theorem to solve for the hypotenuse.

• 16

• 8

• 8√2

• √16

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

• 32√3
• 16√3
• 32
• 16√2

The sides of the triangle are 10, 11, 13. Determine if the triangle is Acute, Right or Obtuse.

• Acute
• Obtuse
• Right
• Not a triangle

What is the side across from the right angle called?

• Leg

• Pythagoras

• Hypotenuse

• Altitude

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8