Question

Here, AB||DE,
The vertex of lower A isnt part of triangle
find the value of x​

Answer 1

Answer:

3 cm

Step-by-step explanation:

AB║DE and AE is the transversal .

∴ ∠A = ∠E [Alternate interior angles]

AB║DE and BD is the transversal .

∴ ∠B = ∠D [Alternate interior angles]

And , ∠ACB = ∠DCE [Opposite angle]

ΔABC Ξ ΔCDE

∴$\frac{AB}{BC}$ = $\frac{DE}{CD\\}$ [The ratio of the two sides]

⇒ $\frac{8}{6}$ = $\frac{4}{CD}$ [Substituting the value of the side]

⇒ CD = 4 × $\frac{6}{8}$

∴ CD = 3 cm