Question
Tv: 57 in; Height: 30 in ; width____ a^2+b^2=c^2
Answers
GPT 3.5
To find the width of the TV, we can use the Pythagorean theorem, which states that 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.
Let the width of the TV be represented by "a" and the height be represented by "b". The diagonal of the TV is given as 57 inches, which is the hypotenuse (c).
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
a^2 + 30^2 = 57^2
a^2 + 900 = 3,249
a^2 = 3,249 - 900
a^2 = 2,349
Taking the square root of both sides to solve for "a", we get:
a = √2349
a ≈ 48.46 inches
Therefore, the width of the TV is approximately 48.46 inches.
Let the width of the TV be represented by "a" and the height be represented by "b". The diagonal of the TV is given as 57 inches, which is the hypotenuse (c).
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
a^2 + 30^2 = 57^2
a^2 + 900 = 3,249
a^2 = 3,249 - 900
a^2 = 2,349
Taking the square root of both sides to solve for "a", we get:
a = √2349
a ≈ 48.46 inches
Therefore, the width of the TV is approximately 48.46 inches.
Theater Screen: 76 ft. Height: 30 ft; Width: a^2+b^2=c^2
GPT 3.5
To find the width of the theater screen, we can use the Pythagorean theorem, which states that 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.
Let the width of the theater screen be represented by "a" and the height be represented by "b". The diagonal of the screen is given as 76 feet, which is the hypotenuse (c).
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
a^2 + 30^2 = 76^2
a^2 + 900 = 5,776
a^2 = 5,776 - 900
a^2 = 4,876
Taking the square root of both sides to solve for "a", we get:
a = √4876
a ≈ 69.9 feet
Therefore, the width of the theater screen is approximately 69.9 feet.
Let the width of the theater screen be represented by "a" and the height be represented by "b". The diagonal of the screen is given as 76 feet, which is the hypotenuse (c).
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
a^2 + 30^2 = 76^2
a^2 + 900 = 5,776
a^2 = 5,776 - 900
a^2 = 4,876
Taking the square root of both sides to solve for "a", we get:
a = √4876
a ≈ 69.9 feet
Therefore, the width of the theater screen is approximately 69.9 feet.