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Triangles — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTriangles1 Mark
MCQ
In the given figure if $\text{DE}\parallel\text{BC},\text{DE}\parallel\text{BC},$ then $x$ is equal to :
  • A
    $15.$
  • B
    $19.$
  • C
    $17.$
  • ✓
    $11.$
✓

Answer

Correct option: D.
$11.$
Given : $\text{DE}\parallel\text{BC}$
$\therefore\frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}$
$\Rightarrow\frac{4}{\text{x-}4}=\frac{8}{\text{3x-19}}$ by using Thale's theorem
$\Rightarrow4\text{x}=44$
$\Rightarrow\text{x}=11$

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