The side of the rectangle is 10 cm and forms 60 ° with a diagonal. Find the area of the rectangle.

A rectangle is a quadrangle in which all corners are straight, opposite sides are parallel and equal to each other.

In order to find the area of ​​a rectangle, you need to multiply its length by width:

S = AB ∙ BC.

To do this, you need to find the length of the other side of the aircraft. To do this, consider the triangle ΔABS. This triangle is rectangular with a right angle ∠B.

Find the side BC through the tangent of the angle ∠А. The tangent of an acute angle of a right triangle is the ratio of the opposite leg to the adjacent one:

tg A = BC / AB;

BC = AB ∙ tg A;

tg 60º ≈ 0.32;

BC = 10 0.32 = 3.2 cm;

S = 10 ∙ 3.2 = 32 cm2.

Answer: the area of ​​the rectangle is 32 cm2.