Terms
Right, Acute, Obtuse?
Find the missing side
Special Right Triangles
Word problems
100

What is the Pythagorean theorem formula? 

a2 + b2 = c2

100

5 , 12 , 13

Right
100

What is c if a = 6 and b = 8?

c = 10

100

What is the length of the hypotenuse of a 45-45-90 triangle with legs of length 4sqrt2 in.? 

8 in

100

Mary is flying a kite. The length of the kite string is 55 feet and she is positioned 40 feet away from beneath the kite. About how high is the kite?

37.7 feet

200

What are the two sides of a triangle that create the right angle called? 

Legs

200

3 , 6 , 9

Obtuse

200

What is c if a = 10 and b = 24?

c = 26

200

What is the length of the hypotenuse of a 30-60-90 triangle if the short leg is 5sqrt5 in? 

10sqrt5 in.

200

A rectangular exercise mat measures 40 in. by 40 in. What is the measure of the diagonal of the mat?

56.6 in.

300

What type of triangle does the Pythagorean Theorem work with?

Right triangles

300

5 , 8 , 9

Acute

300

What is a if c = 19 and b = 12?

a = 14.7

300

What is the length of the diagonal of a square with sides of length 10 m? 

5sqrt2 m 

300

The size of a television screen is determined by the length of the diagonal of the screen. If a 35-inch television screen is 26 inches long, how tall is the screen?

23 inches

400

What is the longest side of a right triangle called? 

Hypotenuse

400

16 , 30 , 34 

NO CALCULATOR

Right

400

What is a if c = 37 and b = 35?

a = 12

400

What is the length of the hypotenuse of a 30-60-90 triangle if the longer leg is 30m? 


20sqrt3 m

400

A 20-foot ladder is leaning against a building. The base of the ladder is 8 feet from the building. About how far up the building does the ladder reach?

18.3 feet

500

What are the formulas of the theorems 45-45-90 and 30-60-90 right triangle? 

45-45-90:    h = sqrt2 * leg

30-60-90:    h = 2 * Shorter leg 

          longer leg = sqrt3 * shorter leg 

500

48 , 56 , 64 

NO CALCULATOR

Acute
500

What is c if a = 7.2 and b=2.7?

c = 7.7

500

What is the length of the side of a square with diagonal of  length 24 cm.? 

12sqrt2 cm

500

A television screen measure 24 inches by 40 inches. What is the approximate measure of the diagonal of the television screen?

46.6 inches

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