Need an answer ASAP
Suppose the length of the diagonal of this rectangular television screen is 29 inches and the length of the base of the screen is 21 inches.
(height)^2 = (diagonal)^2 - (base)^2
area = (base) * (height)
use the Pythagorean Theorem.
Or recognize one of the basic Pythagorean triples: 20,21,29
To find the height of the rectangular television screen, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (in this case, the diagonal of the screen) is equal to the sum of the squares of the other two sides (in this case, the length and the height of the screen).
Let's use the variables "d" for the diagonal, "l" for the length, and "h" for the height.
We are given:
- d = 29 inches (diagonal length)
- l = 21 inches (length of the base)
Using the Pythagorean theorem, we have the equation:
d^2 = l^2 + h^2
Substituting the given values:
29^2 = 21^2 + h^2
To solve for h^2, subtract 21^2 from both sides:
h^2 = 29^2 - 21^2
Now calculate:
h^2 = 841 - 441 = 400
To find h, take the square root of both sides:
√(h^2) = √400
h = ±√400
Since we are dealing with dimensions of a TV screen, we can discard the negative value:
h = √400 = 20 inches
Therefore, the height of the rectangular television screen is 20 inches.