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What is the length of the diagonal of a rectangle having dimensions 3 cm and 4 cm?
- a)5
- b)7
- c)1
- d)4
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
What is the length of the diagonal of a rectangle having dimensions 3 ...
Here let us consider ABCD is a rectangle given in the figure.
AD = 3 cm (Breadth)
DC = 4 cm (Length)
To Find:
AC (Diagonal)
We know that Triangle ADC is a right triangle, right angled at D. So by using Pythagorus Theorem
Length^2 + Breadth^2 = Hypotenuse^2 (diagonal)
DC^2 + AD^2 = AC^2
=> 4^2 + 3^2 = AC^2
=> 16 + 9 = AC^2
=> 25 = AC^2
=> AC = √25 = 5
Therefore the length of the diagonal AC is 5 cm.
Most Upvoted Answer
What is the length of the diagonal of a rectangle having dimensions 3 ...
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Given that the rectangle has dimensions of 3 cm and 4 cm, we can consider the diagonal as the hypotenuse of a right triangle, with the sides of the rectangle as the other two sides.
Let's apply the Pythagorean theorem to find the length of the diagonal.
- Let the length of the rectangle be 3 cm.
- Let the width of the rectangle be 4 cm.
- Let the length of the diagonal be 'd' cm.
According to the Pythagorean theorem, we have:
d² = 3² + 4²
Simplifying the equation:
d² = 9 + 16
d² = 25
Taking the square root of both sides:
d = √25
d = 5 cm
Therefore, the length of the diagonal of the rectangle is 5 cm.
Hence, the correct answer is option 'A' - 5 cm.
Given that the rectangle has dimensions of 3 cm and 4 cm, we can consider the diagonal as the hypotenuse of a right triangle, with the sides of the rectangle as the other two sides.
Let's apply the Pythagorean theorem to find the length of the diagonal.
- Let the length of the rectangle be 3 cm.
- Let the width of the rectangle be 4 cm.
- Let the length of the diagonal be 'd' cm.
According to the Pythagorean theorem, we have:
d² = 3² + 4²
Simplifying the equation:
d² = 9 + 16
d² = 25
Taking the square root of both sides:
d = √25
d = 5 cm
Therefore, the length of the diagonal of the rectangle is 5 cm.
Hence, the correct answer is option 'A' - 5 cm.
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Community Answer
What is the length of the diagonal of a rectangle having dimensions 3 ...
Here let us consider ABCD is a rectangle given in the figure.
AD = 3 cm (Breadth)
DC = 4 cm (Length)
To Find:
AC (Diagonal)
We know that, Triangle ADC is a right triangle, right angled at D. So by using Pythagorus Theorem
Length^2 + Breadth^2 = Hypotenuse^2 (diagonal)
DC^2 + AD^2 = AC^2
=> 4^2 + 3^2 = AC^2
=> 16 + 9 = AC^2
=> 25 = AC^2
=> AC = √25 = 5
Therefore the length of the diagonal AC is 5 cm.
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What is the length of the diagonal of a rectangle having dimensions 3 cm and 4 cm?a)5 b)7c)1 d)4Correct answer is option 'A'. Can you explain this answer?
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What is the length of the diagonal of a rectangle having dimensions 3 cm and 4 cm?a)5 b)7c)1 d)4Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about What is the length of the diagonal of a rectangle having dimensions 3 cm and 4 cm?a)5 b)7c)1 d)4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the length of the diagonal of a rectangle having dimensions 3 cm and 4 cm?a)5 b)7c)1 d)4Correct answer is option 'A'. Can you explain this answer?.
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