Leg Rule Altitude Rule Triangles

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Find the Geometric Mean between 2 and 50.

• 100
• 10
• 52
• 60

Use the Geometric Mean (Altitude Formula) to solve for y.

• 2√110
• 440
• √440
• 52

Use the Geometric Mean (Leg) Theorem to solve for x.

• 4
• √12
• 4√3
• 16

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