Pythagorean Rectangles

ABCD is a rectangle. AB = 14, BC = 9, AC = 22. Find BD.

• 11

• 14

• 9

• 22

Use the Pythagorean Theorem to find the missing side.

• 9

• 41

• 6.4

• 3

Use the Pythagorean Theorem to find the missing side.

• 48

• 108

• 83.6

• 72

How do we prove a triangle is a right triangle?

• Prove all sides are different lenghts

• Show that the three sides satisfy the pythagorean theorem

• Show that opposite angles are congruent

• Show that two sides are congruent

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

The triangular sail of a toy sailboat is supposed to be a right angle.  The manufacturer says the sides of the sail have lengths of 4.5 inches, 6 inches, and 7 inches.  Is the sail a right triangle? 

• No

• Yes

Alan made a small four-sided table for his office.  The opposite sides of the table are 27 inches long and 36 inches long.  If the diagonal of the table measures 40 inches, does the table have right angles at the corners?  Why or why not?

• Yes, because it's a rectangle and rectangles have 90 degree angles in the corners

• Yes, because 27 and 36 are less than 40

• No, because 27²+36² does not equal 40²

• No, because 27+36 does not equal 40

_{^{Find the missing side}}

• 36

• 76.8

• 12

• 40

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14

• 10

• 5.3

• 2

• Yes
• No