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-

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

Facebook Tweet Pin