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BartSMP [9]
3 years ago
11

Suppose the length of the diagonal of this rectangular television screen is 29 inches and the length of the base of the screen i

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

Mathematics
1 answer:
Romashka [77]3 years ago
3 0

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

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Step-by-step explanation:

Given expression is \left(a+3\right)\left(a-2\right).

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Hence we get :

\left(a+3\right)\left(a-2\right)=a^2-2a+3a-6=a^2+a-6=

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