To find the diagonal (hypotenuse) length of your screen using the width and height, you can use the Pythagorean theorem, which states:
\[ c = \sqrt{a^2 + b^2} \]
Where:
- \( c \) is the hypotenuse (diagonal length),
- \( a \) is one side (width),
- \( b \) is the other side (height).
Example:
Let's say you have a TV with the following measurements:
- Diagonal Length (c): \( a = 40 \) inches (this is just an example value, you should replace it with your actual measurement),
- Width (a): \( b = 35 \) inches (you should replace this with your actual width).
Step-by-step Calculation:
- Record the given lengths:
- Diagonal Length (c) = 40 inches
- Width (a) = 35 inches
- You need to find Height (b).
To find Height using the Pythagorean theorem:
- If you know the diagonal and the width, you can find the height (b) using:
\[ b = \sqrt{c^2 - a^2} \]
- Calculate the Height:
Using the example values:
- \( c = 40 \)
- \( a = 35 \)
Calculating b:
\[ b = \sqrt{40^2 - 35^2} = \sqrt{1600 - 1225} = \sqrt{375} \approx 19.36 \]
- Final Calculation for Diagonal Length:
If you started with the height and width, you would need to recalculate the diagonal using the obtained height.
So, using the initial values:
- Diagonal Length (c) from width (35 inches) and height (19.36 inches):
\[ c = \sqrt{35^2 + 19.36^2} \approx 40 \]
Summary:
You need to input your actual measurements in the format above. Ensure to replace the example values with the lengths from your own device.
- Question 1: Diagonal Length = [Your measurement]
- Question 2: Width = [Your measurement]
- Question 3: Diagonal Length = [Calculate using the Pythagorean theorem]
If you have your actual measurements, you can input them for each question accordingly. If you need further assistance or have specific numbers, feel free to share!
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