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In the triangle ABC, angle ABC or angle ...

In the triangle `ABC, angle ABC or angle B =90^@. AB : BD :DC =3:1:3`. If `AC= 20 cm` , then what is the length of AD (in cm) ?

A

`5sqrt(2)`

B

`6sqrt(3)`

C

`4sqrt(5)`

D

`4sqrt(10)`

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Apply 'Pythagoras theorem'. For triangle ABC.
(ii) Let `AB=3x, BD =x and CD =3x`.
(iii) Find the AB and BC using `AB^2+BC^2=AC^2`.
(iv) Then find AD by using `AD^2=AB^2+BD^2`.
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