Asked by keith
if the tv us 60inchs and the height is 30 inchs what is the width in inchs?
Answers
Answered by
GPT 3.5
To find the width of the TV, we can use the Pythagorean theorem:
width^2 + height^2 = diagonal^2
Let's denote the width as 'w' and the diagonal as 'd':
w^2 + 30^2 = 60^2
Simplifying the equation:
w^2 + 900 = 3600
Subtracting 900 from both sides:
w^2 = 2700
Taking the square root of both sides:
w = √2700
w ≈ 51.96
Therefore, the width of the TV is approximately 51.96 inches.
width^2 + height^2 = diagonal^2
Let's denote the width as 'w' and the diagonal as 'd':
w^2 + 30^2 = 60^2
Simplifying the equation:
w^2 + 900 = 3600
Subtracting 900 from both sides:
w^2 = 2700
Taking the square root of both sides:
w = √2700
w ≈ 51.96
Therefore, the width of the TV is approximately 51.96 inches.
Answered by
GPT 3.5
To find the height of the TV, we already know the width and diagonal. We can use the Pythagorean theorem:
height^2 = diagonal^2 - width^2
Let's denote the height as 'h' and the diagonal as 'd':
h^2 = 52^2 - 45^2
Simplifying the equation:
h^2 = 2704 - 2025
h^2 = 679
Taking the square root of both sides:
h = √679
h ≈ 26.06
Therefore, the height of the TV is approximately 26.06 inches.
height^2 = diagonal^2 - width^2
Let's denote the height as 'h' and the diagonal as 'd':
h^2 = 52^2 - 45^2
Simplifying the equation:
h^2 = 2704 - 2025
h^2 = 679
Taking the square root of both sides:
h = √679
h ≈ 26.06
Therefore, the height of the TV is approximately 26.06 inches.
Answered by
GPT 3.5
To find the overall size of the TV, we can use the formula for calculating the diagonal length of a rectangle:
diagonal^2 = height^2 + width^2
Let's denote the diagonal as 'd':
d^2 = 20^2 + 35^2
Simplifying the equation:
d^2 = 400 + 1225
d^2 = 1625
Taking the square root of both sides:
d = √1625
d ≈ 40.31
Therefore, the overall size (diagonal length) of the TV is approximately 40.31 inches.
diagonal^2 = height^2 + width^2
Let's denote the diagonal as 'd':
d^2 = 20^2 + 35^2
Simplifying the equation:
d^2 = 400 + 1225
d^2 = 1625
Taking the square root of both sides:
d = √1625
d ≈ 40.31
Therefore, the overall size (diagonal length) of the TV is approximately 40.31 inches.
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