If the TV is 3 in wider and 5 inches higher what is the new diagonal measurement show your work add 3 to 48 for the width and 5 to 27 for the height then put them in a and b form to find c
To find the new diagonal measurement, we need to use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Let's assume the original diagonal measurement of the TV is represented by "c" (in inches). According to the given information, the width of the TV is increased by 3 inches, so the new width would be 48 + 3 = 51 inches. Similarly, the height of the TV is increased by 5 inches, so the new height would be 27 + 5 = 32 inches.
Using the Pythagorean theorem, we can write the equation as follows:
a^2 + b^2 = c^2
where a and b are the new width and height, respectively.
Substituting the values we found:
51^2 + 32^2 = c^2
Simplifying and calculating:
2601 + 1024 = c^2
3625 = c^2
Taking the square root of both sides to isolate c:
c = √(3625)
c ≈ 60.21 inches
Therefore, the new diagonal measurement of the TV is approximately 60.21 inches.