Rational vs. Irrational
3/4 is an example of a rational number. True or False.
True. It's a fraction.
What is the square root of 81?
A right triangle has a leg of 3 and another leg of 4. What is the hypotenuse?
5
A right triangle has a base of 8 cm and a hypotenuse of 10 cm. What is the length of the missing leg?
6 cm
What is the slant called in the Pythagorean Theorem?
Hypotenuse
Pi is an example of a rational number. True or False.
What is the square root of 225?
15
A right triangle has a height of 12 cm and a base of 10 cm. What is the length of the hypotenuse? Round your answer to the nearest tenth.
15.6 cm
A right triangle has a base of 14 cm and a hypotenuse of 16 cm. What is the length of the missing leg? Round your answer to the nearest tenth.
7.7 cm
When a number can be written as a fraction, is it a rational number or an irrational number?
Rational
5.75 is an irrational number. True or False
False. The decimal terminates or stops, so it's rational.
What is the square root of 81 + the square root of 25? Hint: Solve for both square roots and then add them together.
14
A right triangle has a leg that's 8 meters and another leg that is 8 meters. What is the length of the hypotenuse? Round your answer to the nearest tenth.
11.3 meters
A right triangle has a base of 9 cm and a hypotenuse of 22 cm. What is the length of the missing leg? Round your answer to the nearest whole number.
20 cm
In the Pythagorean Theorem, what are "a" and "b" called?
Legs
8.333333333 (where the 3 repeats) is a irrational number. True or False.
False. Since it repeats, it is a rational number.
What is the cube root of 27?
3 because 3 x 3 x 3 = 9 x 3 = 27
A triangle has a height of 8 cm, a base of 6 cm, and a hypotenuse of 10 cm. Is this a right triangle? Why or why not?
Yes because the sum of the squares of the legs are equal to the square of the hypotenuse.
A right triangle has a base of 4 cm and a hypotenuse of 7 cm. What is the length of the missing leg? Round your answer to the nearest tenth.
False. ONLY RIGHT TRIANGLES.
18.897657... is a rational number. True or False
What 2 integers is the square root of 12 in between?
a) 1 and 2
b) 2 and 3
c) 3 and 4
d) 4 and 5
c) 3 and 4. The square root of 9 is 3 and the square root of 16 is 4. 12 is in between 9 and 16.
A construction worker is 10 feet away for the building. The building is 20 feet tall. Approximately how long does the ladder need to be to reach the top of the building in order to fix the siding?
22.4 feet
A triangle has a height of 5 cm, a base of 10 cm, and a hypotenuse of 15 cm. Is this a right triangle? Why or why not?
No because the sum of the squares of the legs are not equal to the square of the hypotenuse.
What's the formula for finding a missing side length in a right triangle?