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Q.
In the triangle $A B C, \angle A B C$ or $\angle B=90^{\circ} . A B: B D$ : $D C=3: 1: 3$. If $A C=20 cm$, then what is the length of $A D$ (in $cm )$ ?
Geometry
Solution:
(i) Apply 'Pythagoras theorem' for triangle $A B C$.
(ii) Let $A B=3 x, B D=x$ and $C D=3 x$.
(iii) First find $A B$ and $B C$ using $A B^2+B C^2=A C^2$.
(iv) Then find $A D$ by using $A D^2=A B^2+B D^2$.
