The diagonal of the rectangle is with its side, the length of which is 8 cm, and the angle

| April 18, 2021 | education

The diagonal of the rectangle is with its side, the length of which is 8 cm, and the angle, the degree measure of which is 35 degrees. Find the perimeter of the rectangle.

The diagonal of a rectangle divides it into 2 identical right-angled triangles. In which the sides of the rectangle are the legs, and the diagonal itself is the hypotenuse.

Knowing the length of one leg of the triangle and the angle between this leg and the hypotenuse equal to 35 °, we calculate the length of the second leg using the tangent of the angle.

a = 8 cm * tg35 ° = 8 cm * 0.7 = 5.6 cm.

Find the perimeter of the rectangle. Add the two sides of the rectangle together and multiply by 2.

P = (8 cm + 5.6 cm) * 2 = 27.2 cm.

Answer: The perimeter of the rectangle is 27.2 cm.



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