Answer:
The height of the television is:
Step-by-step explanation:
To solve the proposed exercise you must understand two things:
- Since the flat figure of a television is a rectangle, it can be subdivided into a right triangle (since it has at least a 90 ° angle)
- A variation of the Pythagorean Triangle will be used.
The Pythagorean triangle tells us that the sum of the base squared and the height squared of a right triangle will be equal to the hypotenuse (diagonal) squared of the triangle, which is usually expressed like this:
But to make it more understandable, let's express it like this:
- base^2 + height^2 = diagonal^2
Since the diagonal and the base (width) of the television are provided in the exercise, we must clear the height and calculate:
- height^2 = diagonal^2 - base^2
- height^2 = 58^2 - 42^2
- height^2 = 1600
To identify the value if in the square, you must apply square root to the obtained value:
- height^2 = square root of 1600
- <u>height^2 = 40 inches</u>.
