find the lenght of the longest straight line which can be drawn on a rectanglelar chalkboard which measure 2.2m by 1.2m
Use the Pythagorean Theorem.
USE PYTHAGOREAN THEOREM
Pythagoras threom
To find the length of the longest straight line that can be drawn on a rectangular chalkboard, you need to determine the diagonal length of the chalkboard. The diagonal forms the longest straight line that can be drawn across the rectangle.
To calculate the length of the diagonal, you can use the Pythagorean theorem, which states that the square of the hypotenuse (in this case, the diagonal) is equal to the sum of the squares of the other two sides of a right triangle.
In this scenario, the two sides of the right triangle are the length and width of the chalkboard. The length is 2.2 meters and the width is 1.2 meters.
Using the Pythagorean theorem:
diagonal^2 = length^2 + width^2
diagonal^2 = 2.2^2 + 1.2^2
diagonal^2 = 4.84 + 1.44
diagonal^2 = 6.28
To find the diagonal, take the square root of both sides:
diagonal ≈ √6.28
diagonal ≈ 2.51 meters
Therefore, the length of the longest straight line that can be drawn on the rectangular chalkboard is approximately 2.51 meters.