Triangle Area and Angle Bisector Theorem

The video tutorial covers the application of the angle bisector theorem in solving two geometry problems. The first problem involves finding the length of a segment in a triangle using the theorem, while the second problem focuses on calculating the area of triangles by applying the theorem. The tutorial emphasizes the direct application of the angle bisector theorem for both internal and external angles, and highlights the importance of understanding the relationship between the sides and angles in a triangle.

What is the main concept introduced in the video?

• Cosine Rule

• Angle Bisector Theorem

• Pythagorean Theorem

• Sine Rule

In the first problem, which triangle is being analyzed?

• Triangle JKL

• Triangle ABC

• Triangle DEF

• Triangle GHI

What is the length of segment AB in the first problem?

• 6 cm

• 12 cm

• 18 cm

• 10 cm

Which theorem is used to solve the first problem?

• Angle Bisector Theorem

• Pythagorean Theorem

• Cosine Rule

• Sine Rule

What is the calculated length of segment X in the first problem?

• 18 cm

• 12 cm

• 30 cm

• 24 cm

What is the focus of the second problem introduced?

• Determining the height

• Calculating the area

• Finding the perimeter

• Identifying the angles

In the second problem, what is the length of segment AB?

• 10 cm

• 14 cm

• 16 cm

• 18 cm

What is the area of triangle ABD in the second problem?

• 40 square cm

• 25 square cm

• 30 square cm

• 35 square cm

What is the ratio of segments BD to DC in the second problem?

• 3:4

• 5:7

• 6:8

• 7:9

What is the calculated area of triangle ACD?

• 45 square cm

• 57 square cm

• 53 square cm

• 49 square cm