Finding Lengths in Proportional Triangles

The video tutorial explains how to solve a geometry problem involving triangles ABC and DBE. It demonstrates finding the length of side AC by first determining the length of BE using corresponding sides and proportions. The process involves setting up and solving proportions through cross-multiplication, ultimately finding that AC is 4 centimeters.

Which sides are identified as corresponding in the given triangles?

• AC and BD

• BD and ED

• CB and BE

• AB and AC

What is the first step in finding the length of BE?

• Setting up a proportion

• Dividing by the known side

• Identifying corresponding sides

• Cross multiplying the sides

What proportion is set up to find BE?

• AB/CB = BD/X

• BD/AB = X/CB

• AB/BD = CB/X

• CB/AB = X/BD

What is the value of BE after solving the proportion?

• 18 cm

• 6 cm

• 3 cm

• 9 cm

What is the next step after finding BE?

• Dividing by the known side

• Cross multiplying to find AC

• Setting up a new proportion to find AC

• Identifying new corresponding sides

What proportion is set up to find AC?

• 12/3 = X/9

• 3/12 = 9/X

• 3/9 = 12/X

• 9/3 = X/12

What is the value of AC after solving the proportion?

• 12 cm

• 9 cm

• 3 cm

• 4 cm

What is the final step in solving for AC?

• Cross multiplying the sides

• Setting up a proportion

• Identifying corresponding sides

• Dividing by the known side

What is the length of AC in centimeters?

• 6 cm

• 4 cm

• 12 cm

• 9 cm