Question

In the picture below the side AC of the triangle ABC is extended to D by adding the length of the side CB. Then the line through C parallel to DB is drawn to meet AB at E

Answer 1

Step-by-step explanation:

1. ∆ BCD is an equilateral triangle If ∠CBD = x then ∠CDB = x ∠BCD = 180 – 2x ∠BCE = x (line BC passing through parallel lines EC and BD makes equal angle) ∴ ∠ACE = x ∴ line CE bisects ∠C. 2. If AB = 8, AC = 4, and CB = 5 then the line CE divides AB in the ratio 4 : 5. 3. No. We can’t draw a triangle with sides 8cm, 3cm and 4cm. Since 3 : 4 = 6 : 8, take 6cm and 8cm as two sides then find third side.