the description of a tv is based on diagonal length. if the height of the tv is 10 inches and the width is 7 inches, what is the approximate diagonal length in this case?

a.17
b.12
c.9
d.7

To find the approximate diagonal length of the TV, we can use the Pythagorean Theorem. The theorem states that in a right 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 height and width of the TV form the two sides of a right triangle, and the diagonal length acts as the hypotenuse. Let's designate the height as side A (10 inches) and the width as side B (7 inches).

Using the Pythagorean Theorem equation: c^2 = a^2 + b^2

Plugging in the values, we get:

Diagonal length^2 = Height^2 + Width^2
Diagonal length^2 = 10^2 + 7^2
Diagonal length^2 = 100 + 49
Diagonal length^2 ≈ 149

To find the approximate value of the diagonal length, we can find the square root of 149 using a calculator:

Square root of 149 ≈ 12.207

Therefore, the approximate diagonal length of the TV is 12 inches.

The correct option is b. 12.

D^2 = 10^2 + 7^2 = 149

D = √149 = appr 12 , to the nearest whole number