Question

The hypotenuse of a right angle is rational always, sometimes, or never?

Answer 1

I will give you 2 examples

Answer 2

okay

Answer 3

note:
Integers are included in "rational" numbers.

Answer 4

How do I know if its always, sometimes, or never?

Answer 5

I just need a simple answer

Answer 6

The hypotenuse of a right angle is always rational.
that would mean that it is never a square root (unless you can simplify the square root to get rid of the root), and nor can it ever be any other irrational number.

The hypotenuse of a right angle is never rational.
that would mean that hypotenuse of any triangle is always irrational.

Answer 7

sometimes rational,
would mean that it can be rational or irrational.

Answer 8

okay what about the area of a circle id rational? would that be sometimes?

Answer 9

the area of a circle is found by
\(\large\color{black}{ \displaystyle A=\pi r^2 }\)

are you familiar with this formula ?

Answer 10

yes

Answer 11

k, and
note:
\(\large\color{black}{ \displaystyle \pi }\) is an irrational number.

Answer 12

okay

Answer 13

I am still confused bro

Answer 14

you have a radius, pick any number. (choose one, for me please)

Answer 15

4

Answer 16

So \(\large\color{black}{ \displaystyle A= \pi \times 4^2 = 16\pi }\)

Answer 17

Is \(\large\color{black}{ \displaystyle 16\pi }\) rational number or not ?

Answer 18

no because of pi?

Answer 19

yes, it is irrational

Answer 20

now, choose any square root for me please.

Answer 21

\[\sqrt{5}\]

Answer 22

\(\large\color{black}{ \displaystyle A= \pi \times \sqrt{5}^2 = 5\pi }\)

Answer 23

is that rational ?