Pythagorean Theorem & Geometric Mean

When do we use the Pythagorean Theorem?

• To find a missing angle in a right triangle

• To find the missing length of a right triangle

• To find the area of a right triangle

• To find the slope of a right triangle

What letter represents the hypotenuse?

• a

• b

• a and b

• c

Tags

CCSS.8.G.B.7

What is the length of the missing side?

• x = 4

• x = 8

• x = 10

• x = 16

Tags

CCSS.8.G.B.7

Will these sides form a right triangle?

3, 12, 13

• Yes

• No

What is the value of x in the triangle shown?  $\frac{a}{x}=\frac{x}{b}\ \ \cdot\cdot This\ is\ the\ formula\ you\ need\ to\ use.$  

• 3√3

• √27

• 9√3

• Not here

 $Simplify\ \sqrt{48}$  

• 4√2

• 6√3

• 4√3

• 4√2

Find the value of y. *Hint: You need to find x first.*

• 5

• 10√30

• √300

• 10√3

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the value of y.  You need to use the Geometric Mean to find y.  $\frac{a}{x}=\frac{x}{b}$  

• 4

• 2√6

• 6√2

• 12

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

 $\frac{a}{x}=\frac{x}{b}$  Find the geometric mean of 5 and 8.

• 4

• 10

• 2√10

• 4√10

Solve for x

• x = 5√2
• x = 5√3
• x = 5√6
• x = 5

Tags

CCSS.HSA.REI.A.2

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11