Question

Richard wants to buy a LCD flat panel monitor measuring 14 inches by 16 inches. What is the measure of the diagonal of the monitor?
(JUSTIFY)

Answer 1

Answer:

21.26 inches.

Step-by-step explanation:

It can be inferred that the shape of the monitor is a rectangle, in which the length of the monitor is 16 inches and the height of the monitor is 14 inches. The diagonals of the rectangle cut it into two congruent right-angled triangles. Therefore, to find the length of the diagonal of the monitor, use the Pythagoras Theorem. Since the base (b) is 16 inches and the perpendicular (p) is 14 inches, the distance of the hypotenuse (i.e. the diagonal, denoted by h) can be found by the following formula:

$h^2 = b^2 + p^2$

Plugging in the values:

$h^2 = 16^2 + 14^2$

Simplifying gives:

$h^2 = 452$

Taking square root on both sides gives:

h = 21.26 inches (to the nearest 2 decimal places)

Therefore, the measure of the diagonal is 21.26 inches!!!

Answer 2

Answer:

21.26 inches to the nearest hundredth.

Step-by-step explanation:

By the Pythagoras theorem

d^2 = 14^2 + 16^2   (where d = the length of the diagonal).

d^2 = 452

d = 21.26 inches.