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Question: Answered & Verified by Expert
$A B C$ is a triangle right-angled at $B$. The hypotenuse $(A C)$ is four times the perpendicular $(B D)$ drawn to it from the opposite vertex and $\mathrm{AD} < \mathrm{DC}$.
What is $\angle A B D_{?}$
MathematicsProperties of TrianglesNDANDA 2011 (Phase 1)
Options:
  • A $15^{\circ}$
  • B $30^{\circ}$
  • C $45^{\circ}$
  • D None of these
Solution:
1390 Upvotes Verified Answer
The correct answer is: $15^{\circ}$
$\angle \mathrm{ABD}=\alpha=15^{\circ}$

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