A computer screen measures 14 in. by 11 inches. Find the length of the diagonal.
a^2 + b^2 = c^2
14^2 + 11^2 = c^2
196 + 121 = c^2
317 = c^2
17.8 = c
v=1/3*3.14r^2h for r
To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
In this case, the two sides are the length and width of the computer screen.
Let's call the length of the screen "L" and the width "W."
According to the given information, the length (L) is 14 inches and the width (W) is 11 inches.
Using the Pythagorean theorem:
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 14^2 + 11^2
Diagonal^2 = 196 + 121
Diagonal^2 = 317
Taking the square root of both sides to solve for the diagonal:
Diagonal = √317
Therefore, the length of the diagonal of the computer screen is approximately 17.8 inches (rounded to one decimal place).
To find the length of the diagonal of a rectangle, such as the computer screen in this case, 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 screen forms a right-angled triangle, with the length and width of the screen as its two sides. Let's call the length of the screen "a" and the width "b", and the diagonal "d".
According to the Pythagorean Theorem, we have the equation:
d^2 = a^2 + b^2
Substituting the given values, we have:
d^2 = 14^2 + 11^2
Solving this equation, we get:
d^2 = 196 + 121
d^2 = 317
Finally, to find the length of the diagonal, we take the square root of both sides:
d = √317.
Calculating this, we find that the length of the diagonal is approximately 17.80 inches.