Skip to main content
Practice | IGCSE Math

Cambridge IGCSE 0580 Mathematics

Question
In triangle ABC, the point D lies on AB and the point E lies on AC.
DE is parallel to BC.
AD = 6 cm, DB = 4 cm and DE = 9 cm.
(a)Explain why triangle ADE is similar to triangle ABC.
(b)Work out the length of BC.
(c)The area of triangle ADE is 27 cm². Work out the area of triangle ABC.
(d)Hence work out the area of the trapezium DBCE.
[6 marks]
This question has 4 parts. You don't have to get them all — each part you answer earns its own marks. Write them as (a) … ; (b) … , or just send the one part you worked out.
Preview

Tap to take a photo or choose an image

JPG or PNG accepted
Write with Apple Pencil on iPad (or finger / mouse) — the AI reads your working and grades it.
Type your answer
⌨ Math input▾

Grading your answer... please wait

🔗 Foundation Knowledge Gap Detected

This question requires understanding from these prerequisite chapters. Strengthen your foundations to improve your score.

Chapter 4
Ratio, Proportion and Rates
Important
0%
Not started
Go to Ch.4 — Practice Foundations →
Chapter 1
Shapes, Angles and Reasoning
Important
0%
Not started
Go to Ch.1 — Practice Foundations →
Try it free — the AI marks 3 answers a day. A free account marks 30 a day. Sign up free →
📖 Input mode Study the worked solution, then try one like it. Revealed questions aren't counted. Back to practice mode
ORBIT RAISED // LEVEL UP

Level Up!

Congratulations on your progress!