Question

Pythagorean Theorem: My object is a Book. If the length of the book is 24 inches, and the width is 21 inches. let's used a ruler. Find the Hypotenuse? Next, does the hypotenuse that measure with a ruler equal the hypotenuse? Are they the same or? What conclusion can you say?

Answer 1

Given:

The length of the book is 24 inches.

The width of the book is 21 inches.

To find:

The length of the hypotenuse

Step-by-step explanation:

Using the Pythagoras theorem,

`Hyp^2=Opp^2+Adj^2`

On substitution, we get

`\begin{gathered} Hyp^2=24^2+21^2 \\ =576+441 \\ =1017 \\ Hyp=√(1017) \\ =31.89\text{ inches} \end{gathered}`

Thus, the length of the hypotenuse side is 31.89 inches.

The hypotenuse that measures with a ruler equals the hypotenuse.

Yes, the both are same always.

Final answer:

The length of the hypotenuse side is 31.89 inches.