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Equal Angles Subtend Equal Sides

In the figure...

Question

In the figure in, triangle $A B C, ∠ A = 90^{o}; A D ⊥ B C$ if $B D = 9 c m, C D = 4 c m, A D = ?$

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Solution

$\begin{matrix} D C = 4 c m D B = 9 c m A D ⊥ B C Δ D A C \sim Δ D B A (A - A r u l e) {(A O)}^{2} = C D \times B D {(A O)}^{2} = 9 \times 4 {\sqrt{(A O)}}^{2} = \sqrt{36} A O = 6 c m \end{matrix}$

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Q. In the given figure, ∠ABC = 90° and BD ⊥ AC. If BD = 8 cm, AD = 4 cm, find CD.

Q. In given figure, ABC is a triangle right angled at B and

B D ⊥ A C

. if AD =4 cm and CD = 5cm, then find BD and AB.

△ A B C

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Q. Question 9
In given figure, ABC is a triangle right angled at B and

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. If AD =4 cm and CD = 5cm, then find BD and AB.

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