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In DeltaABC, if AB=5cm, BC=13cm and CA=1...

In `DeltaABC,` if `AB=5cm, BC=13cm` and `CA=12cm,` then the distance to vertex `'A'` from the side `BC` is (in cm)

A

`25/12`

B

`60/13`

C

`65/12`

D

`144/13`

Text Solution

Verified by Experts

The correct Answer is:
B
`:'` required distance `=(2Delta)/a`
`:'Delta=sqrt(S(S-a)(S-b)(S-c))`
`a=13,b=10,c=5impliess=15`
`:'Delta=sqrt(15xx2xx3xx10)=5xx3xx2=30`
`:.` required distance `=(2xx30)/13=60/13`
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