To find the new diagonal measurement, we can use the Pythagorean theorem.
Let's assume that the width of the TV is 'w' and the height is 'h'.
According to the given information, w = 48”, h = 27”, and the diagonal measurement is 55”.
Using the Pythagorean theorem, we have the formula:
(d)^2 = (w)^2 + (h)^2
Let's substitute the given values:
(55)^2 = (48)^2 + (27)^2
Simplifying:
3025 = 2304 + 729
3025 = 3033
Now, let's consider the new dimensions. The width is 5” wider, so the new width 'w' would be 48 + 5 = 53”. Similarly, the height is 3” higher, so the new height 'h' would be 27 + 3 = 30”.
Using the same formula as before, we can find the new diagonal measurement:
(d)^2 = (w)^2 + (h)^2
Substituting the new dimensions:
(d)^2 = (53)^2 + (30)^2
Simplifying:
(d)^2 = 2809 + 900
(d)^2 = 3709
Taking the square root of both sides, we find:
d = √3709
d ≈ 60.93”
So, the new diagonal measurement of the TV would be approximately 60.93”.
If a TV has the following dimensions 48” wide, 27” height, and 55” diagonal. Respond to the following questions.
• If the TV is 5” wider and 3” higher, what is the new diagonal measurement? (Show work)
2 answers
what???? Shorten that
2 answers