The bisectors of the two corners of the rectangle divide its side into 3 parts, 8.5 cm each.

univerkov | February 25, 2021 | education

The bisectors of the two corners of the rectangle divide its side into 3 parts, 8.5 cm each. What can be the perimeter of this rectangle?

Since ABCD is a rectangle, the angle AKB = DAK is the cross-lying angles at the intersection of parallel lines AD and BC with the bisector AK. The angle ВAK = DAK, and then the angle AKВ = ВAK, which means that the triangle AВK is isosceles, AB = ВK = 8.5 cm.

Similarly, triangle CDM is isosceles, CD = CM = 8.5 cm.

BC side length = 8.5 + 8.5 + 8.5 = 25.5 cm.

Let’s define the perimeter of the rectangle.

Ravsd = 2 * (AB + BC) = 2 * (8.5 + 25.5) = 68 cm.

Answer: The perimeter of the rectangle is 68 cm.

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