Question

In DABC, DEUBC . ADX, BBM
Atexte oud EC -X-1
na
Rize'
A e DX-2​

Answer 1

Answer:

$x = 4$

Step-by-step explanation:

$In ΔABC, \\ </p><p>DE||BC \\ \frac{AD}{DB} = \frac{AE}{EC} (BPT \: Therom) \\ \frac{x}{x - 2} = \frac{x + 2}{x - 1} \\ Cross \: multiply \\ x(x - 1) = (x - 2)(x + 2) \\ {x}^{2} - x = {x}^{2} - 4 \\ {x}^{2} - {x}^{2} - x + 4 = 0 \\ ( - x) + 4 = 0 \\ ( - x) = ( - 4) \\ x = 4$