Question

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.What is h, the height of the television screen?
A. 25 in.
B. 21 in.
C. 15 in.
D. 20 in.

Answer 1

Answer: the height of the television screen is 20 inches

Step-by-step explanation:

The diagram of the rectangular television screen is shown in the attached photo. The rectangle is labelled as ABCD. The diagonal forms a right angle triangle, ABC. This means that angle B is 90 degrees. The height it labelled as h. To determine h, we will apply Pythagoras theorem. Pythagoras theorem is expressed as

Hypotenuse ^2 = opposite ^2 + adjacent ^2

From the diagram,

hypotenuse = 29 inches

Adjacent = 21 inches. Therefore,

29^2 = 21^2 + h^2

h^2 = 29^2 - 21^2 = 841 - 441

h = √400

h = 20 inches