What is the Pythagorean theorem formula?
a2 + b2 = c2
5 , 12 , 13
What is c if a = 6 and b = 8?
c = 10
What is the length of the hypotenuse of a 45-45-90 triangle with legs of length 4sqrt2 in.?
8 in
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
What are the two sides of a triangle that create the right angle called?
Legs
3 , 6 , 9
Obtuse
What is c if a = 10 and b = 24?
c = 26
What is the length of the hypotenuse of a 30-60-90 triangle if the short leg is 5sqrt5 in?
10sqrt5 in.
A rectangular exercise mat measures 40 in. by 40 in. What is the measure of the diagonal of the mat?
56.6 in.
What type of triangle does the Pythagorean Theorem work with?
Right triangles
5 , 8 , 9
Acute
What is a if c = 19 and b = 12?
a = 14.7
What is the length of the diagonal of a square with sides of length 10 m?
5sqrt2 m
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
What is the longest side of a right triangle called?
Hypotenuse
16 , 30 , 34
NO CALCULATOR
Right
What is a if c = 37 and b = 35?
a = 12
What is the length of the hypotenuse of a 30-60-90 triangle if the longer leg is 30m?
20sqrt3 m
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
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
48 , 56 , 64
NO CALCULATOR
What is c if a = 7.2 and b=2.7?
c = 7.7
What is the length of the side of a square with diagonal of length 24 cm.?
12sqrt2 cm
A television screen measure 24 inches by 40 inches. What is the approximate measure of the diagonal of the television screen?
46.6 inches