Pythagorean Theorem, Special Right Triangles, and Geometric Mean

^{Find the missing side}

• 11

• 61

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Side a on a right triangle is ALWAYS the longest side.

• true
• false

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

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

• 4√2
• 4
• 8
• 4√3

What is the length of the short leg of this 30-60-90 triangle?

• 6

• 3

In this 30-60-90 triangle, what is the length of the hypotenuse?

• 4√2

• 4√3

• 4

• 8

Find the length of AB.

• 36

• 18

• 6

• 12

In right triangle ABC, altitude CD is drawn to hypotenuse AB. Find the length of BC.

• 80

• 40

• 0

• 8.9