Answer:
The question is:
Is the length of the hypotenuse a rational number?
No the hypotenuse is not a rational number.
Step-by-step explanation:
We have been given a right angled triangle.
Where the base and perpendicular lengths were given.
Let the base be inches and the perpendicular be inches.
From Pythagoras theorem :
The hypotenuse (h)
Plugging the values to find the hypotenuse.
Note:If a square root is not a perfect square, then it is considered an irrational number.
And 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.