One of the diagonals of the rhombus is 1.5 times larger than the other, and its area is 27 cm2, find the diagonals of the rhombus.
| April 10, 2021 | education
The area of a rhombus is equal to half the product of its diagonals:
S = d1 * d2 / 2.
By condition, d1 = 1.5 * d2, which means:
S = d1 * d2 / 2 = 1.5 * d2 * d2 / 2;
(d2) ^ 2 = 2 * S / 1.5 = 2 * 27 / 1.5 = 36;
d2 = √36 = 6 cm.
d1 = 1.5 * d2 = 1.5 * 6 = 9 cm.
The required diagonals of the rhombus are 6 cm and 9 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.
