Triangle Construction and Properties

The video tutorial guides viewers through the process of constructing a triangle ABC with given side lengths and angle, followed by drawing its incircle. The tutorial includes detailed steps for using a compass and ruler to create the triangle and incircle, and concludes with measuring the radius of the incircle. The video aims to enhance understanding of geometric constructions and the use of tools like compass and ruler.

What is the length of side BC in triangle ABC?

• 5.8 cm

• 7.2 cm

• 6.4 cm

• 6.0 cm

What is the measure of angle ABC in the triangle?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

Which tool is used to mark the 60-degree angle at point B?

• Protractor

• Set square

• Ruler

• Compass

What is the length of side CA in triangle ABC?

• 7.2 cm

• 6.4 cm

• 6.0 cm

• 5.8 cm

What is the purpose of drawing angle bisectors in the triangle?

• To find the orthocenter

• To determine the circumcenter

• To locate the in-center

• To find the centroid

What is the name of the point where the angle bisectors meet?

• Orthocenter

• Circumcenter

• In-center

• Centroid

What is the next step after finding the in-center of the triangle?

• Draw a parallel line to side AB

• Draw a perpendicular to side BC

• Measure the angle at point A

• Extend side AC

What is the radius of the in-circle?

• 1.4 cm

• 1.6 cm

• 1.8 cm

• 2.0 cm

What is the final step in the construction process?

• Measure the sides of the triangle

• Calculate the area of the triangle

• Draw the circumcircle

• Record the radius of the in-circle

What is the significance of the in-circle in a triangle?

• It is the smallest circle that can fit outside the triangle

• It is the largest circle that can fit inside the triangle

• It is the circle that passes through all vertices

• It is the circle that touches only one side