Advertisements
Advertisements
Question
In the following, ABC is a triangle in which DE || BC, AD = 3 cm, BD = 4 cm and AC = 14 cm. Find the length of AЕ.
Sum
Advertisements
Solution
Given: Triangle ABC with DE || BC, AD = 3 cm, BD = 4 cm, AC = 14 cm.
Step-wise calculation:
1. By the Basic Proportionality (Thales) Theorem, since DE || BC we have `(AD)/(AB) = (AE)/(AC)`.
2. Compute AB = AD + DB
= 3 + 4
= 7 cm
3. `(AD)/(AB) = 3/7`.
4. `AE = AC xx (AD)/(AB)`
= `14 xx 3/7`
= `(14 xx 3)/7`
= 6 cm
shaalaa.com
Is there an error in this question or solution?
