Question

in the given figure de//bc find x. ​

Answer 1

Given:

AD = x cm

BD = 7.2 cm

AE = 1.8 cm

EC = 3.4 cm

Step-by-step explanation:

In ∆ABC, DE II BC,

Therefore by Thales Theorem or Basic Proportionality theorem,

$\frac{AD}{BD} = \frac{AE}{EC}$

Substituting the values,

$\frac{x}{7.2} = \frac{1.8}{3.4}$

By Cross Multiplication,

$(3.4)(x) = (7.2)(1.8)$

$x = \frac{7.2 \times 1.8}{3.4}$

$x = 3.81 \: \: cm$

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