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question 15(multiple choice worth 1 points) (03.02 lc) abcd is a rectangle. what is the value of x? rectangle with length 56 m, width x m, and diagonal 65 m 9 meters 28 meters 33 meters 65 meters

Sagot :

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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