In 16 by 12 rectangle , what is the perimeter of the triangle formed by two sides of the rectangle and the diagonal.

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The rectangle has sides with a length 16 and 12. The length of the diagonal of a rectangle with sides a and b is given by sqrt(a^2 + b^2).

Substituting the values given , the length of the diagonal is sqrt(16^2 + 12^2)

=> sqrt (256 + 144)

=> sqrt...

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The rectangle has sides with a length 16 and 12. The length of the diagonal of a rectangle with sides a and b is given by sqrt(a^2 + b^2).

Substituting the values given , the length of the diagonal is sqrt(16^2 + 12^2)

=> sqrt (256 + 144)

=> sqrt 400

=> 20

The perimeter of the triangle made with the sides and the diagonal is 20 + 12 + 16 = 48

The perimeter of the triangle is 48.

Approved by eNotes Editorial Team