The width of the rectangle is: 33m, by Pythagoras theorem.
What is Pythagoras Theorem?
- The Pythagorean Theorem describes a fundamental relationship between a right triangle's three sides in Euclidean geometry.
- According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Now,
given:
- Length of rectangle = 56m (say, l)
- Diagonal = 65m (say, d)
TO find: Width of rectangle = ? (say, w)
Finding:
BY Pythagoras theorem, in the rectangle ABCD,
For l = AB, w = BC and d = AC,
=> l² + w² = d²
Ob substituting the values, we get: 56² + w² = 65²
=> w² = 65² - 56²
=> w² = 4225 - 3136
=> w² = 1089
=> w = 33m
Hence, for the given values of rectangle, the width of the rectangle is 33m by Pythagoras Theorem.
To learn more about Pythagoras Theorem, refer to the link: https://brainly.com/question/654982
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