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Triangles — Maths STD 10 — Question

Gujarat BoardEnglish MediumSTD 10MathsTriangles1 Mark
MCQ
In given figure, $P Q \| B C$. Find $A B$ $($ in $cm).$
Image
  • A
    $2$
  • B
    $5$
  • C
    $4$
  • ✓
    $6$
✓

Answer

Correct option: D.
$6$
 Given, $P Q|| A C$
$\therefore \frac{A P}{B P}=\frac{A Q}{C Q} ($ By Thales theorem $)$
$\Rightarrow \frac{2.4}{B P}=\frac{2}{3}$
$\Rightarrow B P=\frac{2.4 \times 3}{2}=3.6 \ cm$
$\text{AB=AP+BP}$
$=2.4+3.6$
$=6 \ cm$

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