Square Numbers
What is 122?
144
What is the square root of 121?
11
Where is the hypotenuse located?
Opposite of the right angle for a right triangle.
What is a square number?
A number that is the product of an integer and itself.
What is 142?
196
What is the square root of 225?
15
What is the formula of the Pythagorean Theorem?
a2+b2=c2
What is the Radicand?
What is 222?
484
What is the square root of 324?
18
Does it matter if we swap the values of a and b for the triangle legs?
No it does not. The hypotenuse is the only value we cannot swap. It must be both the longest side of the triangle and opposite of the right angle.
What is the an irrational number?
A number that cannot be written as a fraction.
What is 262?
676
What is the square root of 529?
23
What is the difference between the information the lengths of a triangle gives us versus it's squares?
The length tells us if it is a triangle. The area tells us what kind of triangle it is.
What does adjacent mean?
Next to
What is 292?
841
What is the estimate of the square root of 780?
27.9
Where was Pythagoras from and about what years did he live?
He was a greek philosopher and last lived in Metapontum Italy. He was alive from c.570 BCE and c.490 BCE.
What does the Pythagorean Theorem Prove?
That for right triangles the sum of the squares on the legs of a right triangle is equal to the square of the hypotenuse.