Question

100 POINTS

television sizes are based on the length of the diagonal across the diagonal television Keenan wants to buy a 72-inch television with a width of 46 inches to fit in the space on his wall to the nearest inch what will the height of the television be?

Answer 1

the nearest inch, we get that the height of the television is 59 inches.

Explanation:

We can use the Pythagorean theorem to find the height of the television. Let h be the height of the television. Then we have:

h^2 + 46^2 = 72^2

Simplifying and solving for h, we get:

h^2 = 72^2 - 46^2

h^2 = 3,520

h ≈ 59.3

Rounding to the nearest inch, we get that the height of the television is 59 inches.

Answer 2

We can calculate the height of the television using the Pythagorean theorem. Let h be the height of the television.

Given that the width of the television is 46 inches and the diagonal (which is the hypotenuse of a right triangle) is 72 inches, we can write the equation:

h^2 + 46^2 = 72^2

Simplifying this equation, we get:

h^2 + 2116 = 5184

Subtracting 2116 from both sides gives:

h^2 = 3068

Taking the square root of both sides, we get:

h ≈ 55.4

Rounding off to the nearest inch, the height of the television is 55 inches. Therefore, the answer is 55 inches.