Question

7. ABC is a triangle with side BC produced to BD. CE
is drawn parallel to BA. Find x, y, and z.
А
E
559
489
Z
B.
C С
D​

Answer 1

Answer:

10 Maths

Triangle

Exercise 6.3 Part 2

Question 6: In the given figure, if Δ ABE ≅ Δ ACD, show that Δ ADE ∼ Δ ABC.



Solution: Since Δ ABE ≅ Δ ACD

Hence, BE = CD

And ∠DBE = ∠ECD

In Δ DBE and Δ ECD

BE = CD (proved earlier)

∠DBE = ∠ECD (proved earlier)

DE = DE (common)

Hence, Δ DBE ≅ Δ ECD

This means; DB = EC

This also means;

ADDB=AEECADDB=AEEC

Hence; DE || BC

Thus, Δ ADE ∼ Δ ABC proved.

Step-by-step explanation:

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