Triangle Vocab
Solving for missing sides
Is it rational?
Estimate it
Fractions from decimals
100

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

Legs of a triangle

100

When one leg=3 and the other leg=4 then the hypotenuse=?


What is 5


100

Is √49 a rational number? Why or why not?

Yes, because √49 = 7, and 7 is a rational number.

100

√36 is 6. What is √40 closest to?

6 (just a little more than √36)

100

Convert 0.333… to a fraction.  

1/3

200

What is the side of the triangle across from the right angle?

Hypotenuse of a triangle


200

When one leg=6 and the hypotenuse=10 then the other leg=?


What is 8?


200

Is π a rational number?

No, π is irrational because it cannot be written as a fraction.

200

Is √50 closer to 7 or 8?

Closer to 7 (√49 = 7)

200

Convert 0.7272… to a fraction.

72/99 → 8/11

300

What is the Pythagorean Theorem 

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

300

When one leg=3 and the other leg=5 then the hypotenuse=?


What is the square root of 34


300

Is 0.333… a rational number?

Yes, it is a repeating decimal and equals 1/3.

300

Order from least to greatest: √2, 1.5, √3

1.5, √2, √3

300

Convert 0.123123… to a simplified fraction.

123/999 → 41/333

400

What is the only type of triangle that works with the Pythagorean Theorem.

Right Triangle


400

When one leg=10 and the other leg=9 then the hypotenuse=?


What is the square root of 181?


400

Is √18 rational or irrational?

Irrational, because √18 is not a perfect square and its decimal goes on forever without repeating.

400

What whole number is √90 closest to?

9 (√81 = 9)

400

Convert 0.8181… to a simplified fraction.

81/99 → 9/11

500

What is the name of the guy who discovered the theorem we have been learning about?


Pythagoras

500

When one leg=9 and the hypotenuse=12 then the other leg=?


What is 15?


500

Which of these numbers is irrational: 4/5, √64, 0.25, √10, 1.2?

√10 is irrational. The rest are rational.

500

Fill in the blank: √121 < ___ < √144

Any number between 11 and 12 (e.g., 11.5)

500

Convert 0.454545… to a simplified fraction.

45/99 → 5/11