To calculate the diagonal of the Samsung Galaxy S23+ cell phone screen, we can use the Pythagorean theorem.
Let d be the diagonal length, h be the height, and w be the width.
According to the Pythagorean theorem, we have the equation:
d^2 = h^2 + w^2
Plugging in the values we know:
d^2 = 5^2 + 3^2
d^2 = 25 + 9
d^2 = 34
Taking the square root of both sides:
d = √34
Rounding to the nearest whole inch, the diagonal length of the Samsung Galaxy S23+ cell phone screen is approximately 6 inches.
Use the spaces provided below to calculate the missing measurement for each of the 6
types of screens. You are looking for the width, height, OR the diagonal. You must show
all steps in your work. The size of a screen is given by the length of its diagonal.
Round your answer to the nearest whole inch.1. Samsung Galaxy S23+
Cell phone: ____; Height: 5 in.; Width: 3 in.
3 answers
please show work
To calculate the diagonal, we can use the Pythagorean theorem which states that the square of the diagonal is equal to the sum of the squares of the height and width of the screen.
Let d be the diagonal length, h be the height, and w be the width.
According to the Pythagorean theorem, we have the equation:
d^2 = h^2 + w^2
Plugging in the values we know:
d^2 = 5^2 + 3^2
d^2 = 25 + 9
d^2 = 34
To find the diagonal, we need to take the square root of both sides:
d = √34
d ≈ 5.83
Rounding to the nearest whole inch, the diagonal length of the Samsung Galaxy S23+ cell phone screen is approximately 6 inches.
Let d be the diagonal length, h be the height, and w be the width.
According to the Pythagorean theorem, we have the equation:
d^2 = h^2 + w^2
Plugging in the values we know:
d^2 = 5^2 + 3^2
d^2 = 25 + 9
d^2 = 34
To find the diagonal, we need to take the square root of both sides:
d = √34
d ≈ 5.83
Rounding to the nearest whole inch, the diagonal length of the Samsung Galaxy S23+ cell phone screen is approximately 6 inches.