Show:
Vocabulary
Solving for legs
Solving for Hypotenuse
Squares and Square Roots
Mixed Bag
100

What are the sides of the triangle next to the right angle?

Legs

100
When one leg=3 and the hypotenuse=5 then the other leg=?
What is 4?
100
When one leg=3 and the other leg=4 then the hypotenuse=?
What is 5
100

What is the opposite of squaring a number?

What is square root?

100

True or False: Pythagoras was the first human being to discover and use the Pythagorean theorem.

False, there is evidence that it was used for centuries prior to Pythagoras.

200

What is the side of the triangle across from the right angle? (*Side c)

Hypotenuse

200
When one leg=6 and the hypotenuse=10 then the other leg=?
What is 8?
200
When one leg=3 and the other leg=5 then the hypotenuse=?
What is the square root of 34
200

A square has an area of 50 cm2.  What is the approximate length of each side?

Approximately 7.07 cm.

200

A bird leaves its nest and flies due east 12 miles, it then turns south and flies an additional 16 miles.  If the bird were to fly directly back to its nest, how far would the bird have to fly?

What is 20 miles?

300

What is the formula for the Pythagorean Theorem?

What is a^2+b^2=c^2

300
When one leg=5 and the hypotenuse=13 then the other leg=?
What is 12?
300
When one leg=6 and the other leg=7 then the hypotenuse=?
What is the square root of 85?
300

What do we call multiplying a number by itself?

squaring a number

300

Roofers need to know how long of a ladder they need. The roof is 24 feet high and the bottom of the ladder will be placed 10 feet from the building. What is the length of the ladder?

26 feet

400

What is the name of the guy who is given credit for discovering the theorem we have been learning about?

Pythagoras

400
When one leg=7 and the hypotenuse=25 then the other leg=?
What is 24?
400
When one leg=10 and the other leg=9 then the hypotenuse=?
What is the square root of 181?
400

A square has an area of 225 inches.  What is the perimeter of the square?

What is 60 inches?

400
Television sizes are measured by their diagonal length.  Marshall purchased a 48 inch television to place in his living room.  Marshall plans to put the television in a cabinet that is 24 inches tall and 42 inches wide.  Is the cabinet large enough to hold the television?  

Yes there is enough space because the diagonal length of the cabinet is approximately 48.37 inches.

500

What is the only type of triangle that works with the Pythagorean Theorem. (Or a triangle with an angle measuring 90 degrees)

Right Triangle

500

When one leg=21 and the hypotenuse=35 then the other leg=?

What is 28?

500
When one leg=15 and the other leg=22 then the hypotenuse=?
What is the square root of 709?
500

A square has an area of 36 inches.  What is the length of the diagonal of the square?

Approximately 8.49 inches.

500

A right triangular garden has legs of 8 ft and 6 ft.  If the gardener wants to put chicken wire around the entire garden, how much wire would the gardener need?

24 feet