if a line intersects side BA and AC of triangle ABC at D and E respectively and it is parallel to BC prove that AD/AC
Answers
Answered by
5
Answer:
Step-by-step explanation:
If a line intersects sides AB and AC of a triangle ABC at D and E respectively and is parallel to BC, prove that AD/AB=AE/AC.
DE ║ BC
in ΔABC & ΔADE
∠A = ∠A Common Angle
∠ADE = ∠ABC as BC ║ DE
∠AED = ∠ACB as BC ║ DE
All three angles are equal
so
ΔABC ≅ ΔADE
in similar triangles
AD/AB =AE/AC = DE/BC
=> AD/AB =AE/AC
QED
Similar questions