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

Answer:

hypotenuse is not a rational number

Step-by-step 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 = $\sqrt{52}$  = 7.21110255......

Clearly, h is not a rational number