geometry help I need to do this by today I really need help pleaseeeee

Question

its nice when you have a simple answer to a problem. for example, when you know that the two legs of a right triangle is 3 and 4, and you want to find the length of the hypotenuse you simply do 9 +16 , and you get the square of the hypotenuse. the square of the hypotenuse is 25, so the length itself is 5. But what is the hypotenuse if the legs are 3 and 5? find two whole numbers so that the length of the hypotenuse is in between them. find the length of the hypotenuse as precisely as you can. is it an exact value? Explain.

Answer 1

h^2 = 3^2 + 5^2 = 9+25 =34

h = sqr34 = exact value of the hypotenuse if sides are 3 and 5

sqr34 is between 5 and 6, closer to 6

34 is closer to 6^2 than to 5^2, closer to 36 and than to 25

sqr34 is about 5.8