Exam Questions & Step-by-Step Markschemes (3 Problems)
Question 1 • 2024
4 Marks
State and prove Basic Proportionality Theorem (Thales Theorem).
Answer: \frac{AD}{DB} = \frac{AE}{EC} \quad (\text{Proved})
Question 2 • 2022
3 Marks
In \triangle ABC , D and E are points on the sides AB and AC respectively such that AD = 8x - 7, DB = 5x - 3, AE = 4x - 3 and EC = (3x - 1) . Find the value of x if DE \parallel BC .
Answer: x = 1
Question 3 • 2024
4 Marks
State and prove Basic Proportionality Theorem (Thales Theorem).
Answer: \frac{AD}{DB} = \frac{AE}{EC}