You have a TV that is 30 inches tall and 40 inches wide. What is the length of the diagonal of the TV? (The measure from the bottom left to top right of the TV)
1250 inches
2500 inches
26.5 inches
50 inches
The diagonal of a TV can be found using the Pythagorean theorem, since the width and height of the TV form a right-angled triangle with the diagonal. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle, which in this case would be the TV diagonal) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the width of the TV is 40 inches and the height is 30 inches.
Using the Pythagorean theorem, the diagonal (d) can be calculated as follows:
d^2 = width^2 + height^2
d^2 = 40^2 + 30^2
d^2 = 1600 + 900
d^2 = 2500
Now take the square root of both sides to solve for d:
d = √2500
d = 50 inches
So, the length of the diagonal of the TV is 50 inches.