Consider point A inside a triangle with sides 3,4 and 5. if d is the sum of the distances of this point from the sides.what is the smallest value of d?


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Question Number 204657 by es last updated on 24/Feb/24

$C o n s i d e r p o i n t A i n s i d e a t r i a n g l e$ $w i t h s i d e s 3, 4 a n d 5 . i f d i s t h e s u m$ $o f t h e d i s t a n c e s o f t h i s p o i n t f r o m$ $t h e s i d e s . w h a t i s t h e s m a l l e s t$ $v a l u e o f d ?$
	Answered by mr W last updated on 24/Feb/24

	$d_{m i n} = \frac{3 \times 4}{5} = 2.4$ $d_{m a x} = \frac{3 \times 4}{3} = 4$
	Commented by mr W last updated on 25/Feb/24

	$g e n e r a l l y :$ $d_{m i n} = \frac{2 Δ}{m a x (a, b, c)}$ $d_{m a x} = \frac{2 Δ}{m i n (a, b, c)}$ $w i t h Δ = a r e a o f t r i a n g l e$
	Commented by mr W last updated on 26/Feb/24

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