Question

In the given figure, if DE || BC, then find the value of ' x '

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Answer 1

Answer:

X = 8cm .

I hope this will help you....

Answer 2

Answer:

x=10 cm

Step-by-step explanation:

From the figure, it is given that DE║BS and DE=4cm, BC=x cm and AD=2 cm,DB= 3cm

In ΔADE and ΔABC,we have

∠A=∠A( common)

∠EDA=∠CBA (Corresponding angles)

Hence, by AA similarity,

ΔADE is similar to ΔABC

Therefore, by similarity of triangles,

$\frac{AD}{AB}$=$\frac{DE}{BC}$

$\frac{AD}{AD+BD}$ =$\frac{DE}{BC}$

Substituting the values, we have

$\frac{4}{x}=\frac{2}{2+3}$

x=10 cm