A right triangle has side lengths that measure 4 units, 5 units, and √41 units. Is the value of the perimeter of the triangle a rational or irrational number?

Question

escobar44202 · Answer

i need help

escobar44202 · Answer

is for a grade

AZ · Answer

Do you know what makes a number rational vs irrational?

escobar44202 · Answer

no

escobar44202 · Answer

thats why im asking for help :(

AZ · Answer

`Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. There is no finite way to express them. ( examples: √2, π, e)` https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:irrational-numbers/x2f8bb11595b61c86:irrational-numbers-intro/v/recognizing-irrational-numbers#:~:text=Rational%20numbers%20are%20numbers%20that,%E2%88%9A2%2C%20%CF%80%2C%20e)

escobar44202 · Answer

thx AZ

escobar44202 · Answer

but what is the answer for my question

escobar44202 · Answer

A right triangle has side lengths that measure 4 units, 5 units, and √41 units. Is the value of the perimeter of the triangle a rational or irrational number? Is the value of the area of the triangle a rational or irrational number?

AZ · Answer

what is the perimeter of triangle?

escobar44202 · Answer

i dont know AZ

escobar44202 · Answer

if i dont get this right ima fail

AZ · Answer

to find the perimeter, you have to add all the sides

escobar44202 · Answer

whats 9+41 squared

AZ · Answer

so is $\sqrt{41}$

is that a rational number or an irrational number?

escobar44202 · Answer

it is a irrational number

AZ · Answer

exactly! so what is $9 + \sqrt{41}$ going to be?

an irrational number, right?

escobar44202 · Answer

yes, so the perimeter is irrational.

escobar44202 · Answer

?

AZ · Answer

yes

escobar44202 · Answer

thank you so munch az

escobar44202 · Answer

is the area also irrational?

AZ · Answer

|dw:1616809623505:dw|

what is the area of this triangle?

AZ · Answer

remember that area = 1/2 * base * height

the base is 4
the height is 5

what is the the area of the triangle?

escobar44202 · Answer

20

AZ · Answer

remember it's 1/2 * 4 * 5

so re-calculate

escobar44202 · Answer

10?

AZ · Answer

yes, so is 10 a rational number or an irrational number

escobar44202 · Answer

yes it is rational.

AZ · Answer

correct

escobar44202 · Answer

THANK YOU

escobar44202 · Answer

can you help me with the rest of my homeowrk?

AZ · Answer

sure, make a new post and tag me like @az

escobar44202 · Answer

okay