In a rhombus with an angle of 60 °, the height is 4√3 What is the perimeter of the rhombus?

univerkov | April 8, 2021 | education

From triangle AED, find AD. This figure is a rhombus, it means AD = DC = BC = AB
AD is found by the sine theorem (the sides of a triangle are proportional to the sines of the opposite angles.)

AD / sin90 ° = AE / sin60 °.
AD / 1 = 4√3 / (√3 / 2).
AD = 4√3 × 2/3 (since we are dividing by a fraction, we turn it over).
AD = 8.
P = 8 + 8 + 8 + 8 = 32 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.