Geometric Mean and Pythagorean Theorem

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in.  Will this make a right triangle?

• yes

• no

Find the value of x.

• 2√7

• 7√2

• √28

• 28

The longest side of a right triangle is called the __________.

• hypotenuse

• leg

• arm

• hippopotamus

Does the set of numbers represent a right triangle?

• Yes

• No

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

Using geometric mean in right triangles, find the value of x and y.

• x = 2

  y = 3

• x = 3

  y = 2

Using geometric mean in right triangles, find the value of x, y, and z.

• x = 2

  y = 2.8

  z = 2.8

• x = 2.8

  y = 2

  z = 2

• x = 2 

  y = 2.8

  z = 2

• x = 2.8

  y = 2.8

  z = 2 

Find the geometric mean between 12 and 20.

(round to the nearest tenth)