Betty decides to compare the diagonals of both the square and rectangular tables customers will use in the coffee shop. Her measurements show that the square tables have a side length of 34 inches and the rectangular tables are 29 1/3inches wide and 35 inches long. She uses the formula d i a g o n a l space equals space square root of left parenthesis w i d t h right parenthesis squared plus left parenthesis h e i g h t right parenthesis squared end root to compute the diagonal of each table.

Question

Betty decides to compare the diagonals of both the square and rectangular tables customers will use in the coffee shop.  Her measurements show that the square tables have a side length of 34 inches and the rectangular tables are 29 1/3inches wide and 35 inches long. She uses the formula d i a g o n a l space equals space square root of left parenthesis w i d t h right parenthesis squared plus left parenthesis h e i g h t right parenthesis squared end root to compute the diagonal of each table.

Which table has a diagonal whose length (measured in inches) is an irrational number? What is the length of this diagonal?

Reiny · Answer

The diagonal of the square is √(34^2 + 34^2) = √2312 inches so what is your verdict? repeat for the other one. Suggestion, do not use decimals

Anonymous · Answer

Betty decides to compare the diagonals of both the square and rectangular tables customers will use in the coffee shop. Her measurements show that the square tables have a side length of 34 inches and the rectangular tables are inches wide and 35 inches long. She uses the formula to compute the diagonal of each table.