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 What is the diagonal length of a TV screen whose dimensions are 80 x 60 cm?
  • a)
    10
  • b)
    100
  • c)
    20
  • d)
    1000
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the diagonal length of a TV screen whose dimensions are 80 x 6...
We have a TV which is a rectangle whose adjacent sides form an angle of 90 degrees so The triangle formed by the two sides and a diagonal will be a right angle. So, Applying Pythagoras Theorem,
(Diagonal)2=802+602=6400+3600=10000
Diagonal=100cm
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Most Upvoted Answer
What is the diagonal length of a TV screen whose dimensions are 80 x 6...
We have a TV which is a rectangle whose adjacent sides form an angle of 90 degrees so The triangle formed by the two sides and a diagonal will be a right angle. So, Applying Pythagoras Theorem,
(Diagonal)2=802+602=6400+3600=10000
Diagonal=100cm
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Community Answer
What is the diagonal length of a TV screen whose dimensions are 80 x 6...
Understanding the Diagonal Length Calculation
To find the diagonal length of a TV screen given its dimensions, we can use the Pythagorean theorem. The dimensions of the TV are 80 cm (width) and 60 cm (height).
Steps to Calculate the Diagonal:
1. Identify the Dimensions:
- Width (W) = 80 cm
- Height (H) = 60 cm
2. Pythagorean Theorem:
The diagonal (D) can be calculated using the formula:
D = √(W² + H²)
3. Calculating the Squares:
- W² = 80² = 6400
- H² = 60² = 3600
4. Add the Squares:
- W² + H² = 6400 + 3600 = 10000
5. Calculate the Square Root:
- D = √(10000) = 100 cm
Final Result:
Thus, the diagonal length of the TV screen is 100 cm.
Conclusion:
The correct answer to the question is option 'B' (100 cm). This method can be used for any rectangular screen to find the diagonal length easily.
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