Question

In shop, you make a table. The sides of the table measure 36" and 18". If the diagonal of the table measures 43", is the table "square"? (In construction, the term "square" just means the table has right angles at the corners.)

Answer 1

We are given the following information:

Table sides = 36 inches & 18 inches

Diagonal of table = 43 inches

We are to find out if the table is "square" (that is if the table follows the Pythagoras theorem). We will check this below:

`\begin{gathered} \text{The Pythagoras Theorem is given by:} \\ c^2=a^2+b^2 \\ c=43in,b=36in,a=18in \\ \text{Substituting we have:} \\ 43^2=18^2+36^2 \\ 1849=324+1296 \\ 1849=1620 \\ \Rightarrow1849\\e1620 \\ \\ \therefore\text{ The table is not ''square''} \end{gathered}`

Therefore, the table is not "square" (it does not have right angles at the corners)