Alan made a small four sided table for his office .Two sides of the table are 27 inches long and 36 inches long .If the diagonal

Question

evablogger [386]

3 years ago

5

Alan made a small four sided table for his office .Two sides of the table are 27 inches long and 36 inches long .If the diagonal

of the table is 40 inches ,does the table have a right angle at the corners

Mathematics

1 answer:

Tcecarenko [31] · Answer 1 · 2022-10-10T15:32:05+03:00

Answer:

does NOT have right angles at the corners

Step-by-step explanation:

we are given that the sides of a table are 27" and 36" long.

If we assume the table to be rectangular, then by Pythagorean formula, we can find the diagonal and compare it to the 40" that we are given.

(refer to attached)

diagonal² = 27² + 36²

diagonal² = 2025

diagonal = √2025

diagonal = 45 inches

because the diagonal that we found is not the same as the 40" that was given, we can conclude that the table is not a rectangle (i.e does not have right angles at the corners)