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Triangles — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTriangles1 Mark
MCQ
In two triangles $\text{ABC}$ and $\text{DEF,} \angle A=\angle E$ and $\angle B=\angle F$. Then, $\frac{AB}{AC}$ is equal to
  • A
    $\frac{D E}{D F}$
  • B
    $\frac{E D}{E F}$
  • ✓
    $\frac{E F}{E D}$
  • D
    $\frac{E F}{D F}$
✓

Answer

Correct option: C.
$\frac{E F}{E D}$
$\angle A=\angle E$ and $\angle B=\angle F \ ($ Given $)$
$\Rightarrow \triangle \text{ABC} \sim \triangle \text{EFD} \ ($ By $AA$ similarity criterion $)$
$\Rightarrow \frac{A B}{E F}=\frac{A C}{E D}$
$\Rightarrow \frac{A B}{A C}=\frac{E F}{E D}$

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