A square television screen has 19-inch diagonal. How long is a side of the screen, to the nearest tenth?
Length of side______ Area_____
Being a square, all sides have to be equal. Using the a^2+b^2=c^2 (pythagorean theorum) rule, two sides squared have to equal the hypotenous squared.
i.e. a^2+b^2=19^2 or 2*b^2=19^2
Divide each side by 2 and sqrt().
b^2=361/2
b=13.4in
A=b*h
//base and height are the same b/c square
A=13.4*13.4
A=180.5in^2
Thank you
To find the length of a side of a square television screen with a 19-inch diagonal, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).
Let's denote the length of a side of the screen as "x". Then using the Pythagorean theorem, we can set up the equation:
x^2 + x^2 = 19^2
Simplifying this equation:
2x^2 = 361
Dividing both sides by 2:
x^2 = 180.5
To find the length of a side, we need to take the square root of both sides:
x ≈ √180.5
Using a calculator, we find that x ≈ 13.4 (rounded to the nearest tenth).
Therefore, the length of a side of the screen is approximately 13.4 inches.
To find the area of the square screen, we simply square the length of the side:
Area = (13.4)^2
Area ≈ 179.56 square inches (rounded to the nearest hundredth).
To find the length of a side of the square television screen, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the diagonal of the square represents the hypotenuse, and the length of each side represents the other two sides.
Let's denote the length of each side of the square as "x". Then, we can set up the equation as follows:
x^2 + x^2 = 19^2
Simplifying the equation:
2x^2 = 19^2
x^2 = (19^2) / 2
x^2 ≈ 180.5
Taking the square root of both sides:
x ≈ √180.5
Using a calculator or approximation techniques, we find:
x ≈ 13.4
Therefore, the length of each side of the square television screen is approximately 13.4 inches.
To find the area of the square, we can use the formula: Area = (side length)^2.
So, in this case, the area would be:
Area = (13.4)^2 ≈ 179.6 square inches.