The length of the diagonals of the rhombus is 24cm and 32cm. Find the perimeter of the rhombus.
| September 26, 2021 | education
The diagonals of the rhombus, at the point of their intersection, are halved and intersect at right angles.
Then AO = CO = AC / 2 = 32/2 = 16 cm, BO = DO = BD / 2 = 24/2 = 12 cm.
The ABO triangle is rectangular, in which, according to the Pythagorean theorem, we determine the length of the hypotenuse AB. AB ^ 2 = AO ^ 2 + BO ^ 2 = 256 + 144 = 400.
AB = 20 cm.
In a rhombus, the lengths of all sides are equal, then Ravsd = AB * 4 = 20 * 4 = 80 cm.
Answer: The perimeter of the rhombus is 80 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
