Triangle Properties and Angle Relationships

The video tutorial explains how to solve a geometry problem involving a triangle ABC with a given altitude CD. It uses the Triangle Sum Theorem to calculate angles in triangles ADC and BDC, determines that triangle ABC is isosceles, and applies the Pythagorean Theorem to find the lengths of sides BC, CD, and AC. The tutorial emphasizes the importance of understanding geometric properties and theorems to solve complex problems.

What is the length of side AD in triangle ABC?

• 12 units

• 9 units

• 15 units

• 21 units

What is the measure of angle DBC in terms of X?

• 90 degrees

• 2X

• X

• 180 degrees

What is the length of side BD in triangle ABC?

• 15 units

• 9 units

• 12 units

• 21 units

What is the length of side BD in triangle ABC?

• 9 units

• 12 units

• 21 units

• 15 units

According to the Triangle Sum Theorem, what is the sum of the interior angles of a triangle?

• 360 degrees

• 90 degrees

• 270 degrees

• 180 degrees

What is the value of angle Alpha in triangle ADC?

• 90 degrees

• X

• 90 degrees - X

• 180 degrees - X

What is the sum of angles Alpha, X, and 90 degrees in triangle ADC?

• 180 degrees

• 270 degrees

• 90 degrees

• 360 degrees

What is the sum of angles Alpha, X, and 90 degrees in triangle ADC?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

In triangle BDC, what is the expression for angle Beta?

• X

• 90 degrees - 2X

• 2X

• 90 degrees - X

What is the sum of angles Beta, 2X, and 90 degrees in triangle BDC?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees