Calculate the area of a rhombus if one of its diagonal is 20 dm and the other is 17 dm.

univerkov | May 1, 2021 | education

The diagonals of the rhombus at the intersection point are halved and divide the rhombus into four equal triangles.

Then AO = AC / 2 = 20/2 = 10 dm.

ОВ = ВД / 2 = 17/2 = 8.5 dm.

Determine the area of the triangle AOB.

Saov = AO * ВO / 2 = 10 * 8.5 / 2 = 42.5 dm2.

Then Savsd = 4 * Saov = 4 * 42.5 = 170 dm2.

Answer: The area of the rhombus is 170 dm2.

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.