GCSE Secondary Maths Age 13-17 - Geometry & Measures: Similar triangles - Explained

The video tutorial explains how to solve a geometry problem involving similar triangles. It begins by identifying the given measurements and the parallel lines, leading to the recognition of similar triangles. The instructor explains the concept of corresponding angles and the importance of the scale factor in solving for unknown lengths. The tutorial demonstrates how to calculate the scale factor and use it to find the lengths of segments AE and AB. The video concludes with advice on recognizing similar triangles and using the given information effectively.

What are the given measurements for the triangles in the problem?

• EC = 8.1 cm, DC = 5.4 cm, DB = 2.6 cm

• EC = 8.1 cm, DC = 2.6 cm, DB = 5.4 cm

• EC = 5.4 cm, DC = 8.1 cm, DB = 2.6 cm

• EC = 2.6 cm, DC = 5.4 cm, DB = 8.1 cm

Why are the triangles EAC and CDB considered similar?

• They have the same area.

• They have corresponding angles equal.

• They have equal side lengths.

• They are both right triangles.

What is the scale factor used to find the length of AE?

• 1.2

• 0.75

• 1.5

• 2.0

How is the length of AE calculated using the scale factor?

• By adding the scale factor to 2.6

• By multiplying 2.6 by the scale factor

• By dividing 2.6 by the scale factor

• By subtracting the scale factor from 2.6

What is the total length of AC?

• 2.05 cm

• 4.1 cm

• 6.15 cm

• 3.9 cm

How is the length of BC calculated?

• By dividing AC by 1.5

• By subtracting 1.5 from AC

• By multiplying AC by 1.5

• By adding 1.5 to AC

What is the final calculated length of AB?

• 3.9 cm

• 6.15 cm

• 2.05 cm

• 4.1 cm