Triangle ABC: Area and Angles

This video tutorial explains how to calculate the area of a triangle using trigonometry. It begins with a problem statement involving a triangle ABC with given angles and side lengths. The instructor applies the triangle sum theorem to find missing angles and uses the law of sines to determine an unknown side length. Finally, the area of the triangle is calculated using the known side lengths and angles, resulting in an area of approximately 187 square units.

What is the given angle ACD in the triangle ABC?

• 28°

• 115°

• 90°

• 53°

What is the length of side BC in the triangle ABC?

• 53 units

• 37 units

• 28 units

• 23 units

What is the formula for the area of a triangle?

• Base - Height

• Base + Height

• 1/2 * Base * Height

• Base * Height

Which side is considered the base in triangle ABC?

• AB

• BC

• CD

• AC

What is the sum of interior angles in any triangle?

• 270°

• 180°

• 90°

• 360°

What is the calculated angle BCD in triangle BCD?

• 90°

• 28°

• 62°

• 115°

What is the sum of angles 53° and 62°?

• 90°

• 215°

• 180°

• 115°

What is the angle ACB in triangle ABC?

• 115°

• 62°

• 90°

• 53°

What is the angle labeled as alpha in triangle ABC?

• 28°

• 37°

• 53°

• 115°

What is the angle labeled as beta in triangle ABC?

• 53°

• 28°

• 37°

• 115°