Pythagorean Theorem
Right, Acute, and Obtuse Triangles
45-45-90 Triangle
30-60-90 Triangle
Distance Formula
and
Equation of a Circle
Word Problems
100

Find the length of the hypotenuse if one leg=3 and the other leg=4.

What is 5?

100

Determine the type of triangle given the following lengths: 9 METERS, 15 METERS, AND 12 METERS.  

What is a right triangle?

100

45-45-90

The length of the hypotenuse is  2*sqrt(2). What is the length of the legs?

What is 2?

100

(1,3) and (7,6)

What is 6.7?

100

Bob is riding his bike. He goes 6 miles north and 10 miles east. How far is Bob from where he started?

 

What is 11.7 miles?

200

Find the length of the leg, if one leg=5 and the hypotenuse=13.

What is 12?

200

Determine the type of triangle given the following lengths: 6 YARDS, 9 YARDS, AND 11 YARDS.  


What is an obtuse triangle?

200

45-45-90

The length of both legs are 6cm. What is the length of the hypotenuse?

What is 6*sqrt(2)? What is 8.5?

200

(-4,-1) and (1,2)

What is 5.8?

200

A 10 foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the wall. How far up the wall does the ladder reach?

What is 9.2 feet?

300

Find the length of the hypotenuse if one leg=6 and the other leg=7.

What is 9.2?

300

Determine the type of triangle given the following lengths: 32.5 METERS, 48.5 METERS, AND 39 METERS.  

 

What is an acute triangle?

300

30-60-90

The length of the short side is 5. What is the length of the hypotenuse?

What is 10?

300

What is the equation of the circle with center (7,8) and radius 2?

What is (x-7)^2 +(y-8)^2 = 4?

300

Jeff wants to buy a 60'' TV to fit the 30'' by 45'' opening in his entertainment center. Will the TV fit?

What is no?
400

Find the length of the hypotenuse if one leg=15 and the other leg=22.

What is 26.6?

400

Determine the type of triangle given the following lengths: 50.5 INCHES, 10 INCHES, AND 49.5 INCHES.

What is a right triangle?

400

30-60-90

The length of the short side is 5. What is the length of the long leg?

What is 5*sqrt(3)? What is 8.7?

400

What is the equation of the circle with center (-9,1) and radius 7?

What is (x+9)^2 + (y-1)^2 = 49?

400

Beth is building a shelf that is 5.5ft tall and 4.25ft wide. She needs a diagonal support on the back of the shelf. How long should it be?

 

What is 7ft?

500

Find the length of the leg, if one leg=9 and the hypotenuse=12.

What is 7.9?

500

Determine the type of triangle given the following lengths: 12.5 FEET, 12.5 FEET, AND 15.75 FEET.  

What is an acute triangle?

500

30-60-90

The length of the long leg is 16. What is the length of the short leg?

What is 9.2?

500

What is the center and the the radius from the equation?

(x - 3)^2 + (y + 5)^2 = 36

What is center = (3,-5) and radius = 6?

500

Roofers need to know how long of a ladder they need. The roof is 84 feet high and the bottom of the ladder will be placed 50 feet from the building. What is the length of the ladder?

What is 97.8 ft?