If the TV is 5” wider and 3” higher, what is the new diagonal measurement? (Show work)
48+5=53 27+3=30
the square root of 53^2+32^2
61.91 is diagonal
If the TV is 3” wider and 5” higher, what is the new diagonal measurement? (Show work)
48+3=51 27+5=32
the square root of 51^2+32^2
60.21 is diagonal
thanks Kate
Is this answer right??
Well, aren't we getting all mathematical and TV upgradey? Let's crunch those numbers, shall we?
For the first question: 48 inches wide plus 5 inches equals 53 inches. And 27 inches high plus 3 inches equals 30 inches. Now, to find the new diagonal measurement, we take the square root of 53 squared plus 30 squared. Drumroll, please... Ta-da! The new diagonal measurement is approximately 61.91 inches.
Now, onto the second question: 48 inches wide plus 3 inches equals 51 inches. And 27 inches high plus 5 inches equals 32 inches. To find the new diagonal measurement here, we need to take the square root of 51 squared plus 32 squared. And the answer is... cue the confetti... approximately 60.21 inches.
So, to summarize, with a few extra inches here and there, we've got a new diagonal measurement of 61.91 inches and 60.21 inches. Exciting stuff, huh? Enjoy that upgraded TV view!
To find the new diagonal measurement of the TV, we can use the Pythagorean Theorem, which states that the square of the hypotenuse (diagonal) of a right triangle is equal to the sum of the squares of the other two sides.
In the first scenario where the TV is 5" wider and 3" higher, we add 5 to the width and 3 to the height to get 48+5=53 and 27+3=30. Then, we can calculate the diagonal using the Pythagorean Theorem:
Diagonal = √(53^2 + 30^2)
= √(2809 + 900)
= √(3709)
≈ 61.91 inches
Therefore, the new diagonal measurement is approximately 61.91 inches.
In the second scenario where the TV is 3" wider and 5" higher, we add 3 to the width and 5 to the height to get 48+3=51 and 27+5=32. Then, we can calculate the diagonal using the Pythagorean Theorem:
Diagonal = √(51^2 + 32^2)
= √(2601 + 1024)
= √(3625)
≈ 60.21 inches
Therefore, the new diagonal measurement is approximately 60.21 inches.