Find the area of the triangle whose one angle measure is 55°, the other angle is a right angle and the side opposite the 55° angle is 15 units.

Step-by-step explanation:

Area of the right angles triangle will be expressed as;

Area of a triangle = 1/2base * height

Let the height of the triangle be 15 units

Get the base;

The base will be the adjacent;

Using the TOA trig identity;

tan 55 = opp/adj

tan 55 = 15/adj

adj = 15/tan 55

adj = 15/7.42

adj = 2.022 units

Area of the triangle = 1/2 * 15 * 2.022

Area of the triangle  = 15 * 1.011

Area of the triangle = 15.165units²

Once you know the height and width, multiply them to get the area of the square. To find the perimeter of the square, add all four sides together. To find the area of a triangle, multiply together two of the sides not the hypotenuse and then multiply that figure by 1/2.