Question

ScrapBook,you cut a picture into a right triangle for your scrapbook, the lengths of the lago of the triangle are 4 inches and 6 inches is the length of the hypotenuse a rational number

Answer 1

hypotenuse is not a rational number

Explanation:

In a Right angled triangle , if a, b are the sides and h be the hypotenuse then relationship between them is given by

`h^(2)` =
`a^(2)` +
`b^(2)`

Here,

a= 4 in. [Given]

b = 6 in. [Given]

Thus ,

`h^(2)` =
`4^(2)` +
`6^(2)`

`h^(2)` = 16 + 36

`h^(2)` = 52.

h =
`√(52)` = 7.21110255......

Clearly, h is not a rational number