Find the length of the longest straight line which can be drawn on a rectangular board which measures 2.2m by 1.2m
I don't understand
The longest straight line in this case is given by the diagonal of the rectangle.
You can find its length by using the Pythagorean theorem.
x^2 = (2.2)^2 + (1.2)^2
Solve for x.
Please work it out
..I failed
please I don't understand
To find the length of the longest straight line that can be drawn on a rectangular board, we need to find the length of the board's diagonal. The diagonal will be the longest straight line that can be drawn from one corner of the rectangle to the opposite corner.
We can use the Pythagorean theorem to find the length of the diagonal. According to the theorem, in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the length of the rectangular board is 2.2m and the width is 1.2m. We can consider these measurements as the two sides of a right-angled triangle, where the diagonal of the board is the hypotenuse.
Using the Pythagorean theorem, we can calculate the length of the diagonal as follows:
(diagonal)^2 = (length)^2 + (width)^2
(diagonal)^2 = (2.2m)^2 + (1.2m)^2
(diagonal)^2 = 4.84m^2 + 1.44m^2
(diagonal)^2 = 6.28m^2
Taking the square root of both sides gives us:
diagonal = sqrt(6.28m^2)
diagonal ≈ 2.51 m
Therefore, the length of the longest straight line that can be drawn on the rectangular board is approximately 2.51 meters.