The-maximum-area-of-the-triangle-whose-sides-a-b-and-c-satisfy-0-a-1-1-b-2-2-c-3-is-A-1-B-2-C-1-5-D-0-5-

Question Number 31409 by rahul 19 last updated on 08/Mar/18

T h e m a x i m u m a r e a o f t h e t r i a n g l e

w h o s e s i d e s a, b a n d c s a t i s f y

0 ⩽ a ⩽ 1, 1 ⩽ b ⩽ 2, 2 ⩽ c ⩽ 3 i s :

A) 1

B) 2

C) 1.5

D) 0.5 ?

Answered by MJS last updated on 08/Mar/18

I think because of a + b > c, a + c > b

and b + c > a and A r e a = \frac{s \times h_{s}}{2} with

s = a \lor b \lor c the largest possible

triangle in this case is the one

with \max s and \max h_{s} and it

seems to me {it}^{'} s the rectangular

one with b = 2; a = h_{b} = 1; c = \sqrt{5}

and \frac{b \times h_{b}}{2} = 1, so {it}^{'} s answer 1

Commented by rahul 19 last updated on 09/Mar/18

s i r w h y u c h o o s e r i g h t a n g l e d t r i a n g l e .

w h y n o t a n a c u t e / o b t u s e a n g l e d t r i a n g l e

Commented by rahul 19 last updated on 09/Mar/18

y o u r a n s w e r i s c o r r e c t b u t p l z g i v e r e a s o n .