Question

PLEASE HELP I NEED TO TURN THIS IN

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

The question is:

Is the length of the hypotenuse a rational number?

No the hypotenuse is not a rational number.

Explanation:

We have been given a right angled triangle.

Where the base and perpendicular lengths were given.

Let the base be
`b` inches and the perpendicular be
`p` inches.

From Pythagoras theorem :

The hypotenuse (h)
`=√(p^2+b^2)`

Plugging the values to find the hypotenuse.

`h=√(p^2+b^2)=√(4^2+6^2)=√(16+36)=√(52)`

Note:If a square root is not a perfect square, then it is considered an irrational number.

And
`√(52)=7.211` so it is not a perfect square as it has decimals and its an irrational number.

The length of the hypotenuse is not a rational number instead its an irrational term.