The diagonal of a rectangle is 12 in and intersect at an angle to make a 60 degree angle. Find the perimeter of the rectangle

Respuesta :

The perimeter of the rectangle whose diagonal is 12in and intersects at an angle to make a 60 degree angle is; 32.8in.

What is the perimeter of the rectangle?

The rectangle as described above has it's Diagonals intersect at their midpoints, i.e at length = 6in.

On this note, the right angle triangles formed each have other two sides to be;

  • x = 6 sin 60 and y = 6 Cos 60 respectively.

From the statement above, the values of x and y are 5.2 and 3.

Hence, the perimeter of the rectangle is;

  • 2(2x + 2y) = 32.8 inches.

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