Find-the-max-area-of-le-witth-sides-a-b-c-such-as-0-lt-a-1-1-b-2-2-c-3-is-a-1-b-1-2-c-2-d-3-2-

Question Number 164437 by SLVR last updated on 17/Jan/22

F i n d t h e m a x . a r e a o f Δ l e

w i t t h s i d e s a, b, c s u c h a s

0 < a ⩽ 1; 1 ⩽ b ⩽ 2; 2 ⩽ c ⩽ 3 i s

a) 1 b) 1 / 2 c) 2 d) 3 / 2

Answered by mahdipoor last updated on 17/Jan/22

g e t a a n d b a r e c o n s t a d \Rightarrow

S = \frac{a b}{2} s i n θ \Rightarrow \frac{d S}{d θ} = 0 = \frac{a b}{2} c o s θ \Rightarrow θ = 90^{°}

\Rightarrow a, b, c = \sqrt{a^{2} + b^{2}} S = \frac{a b}{2}

f o r a = 1 a n d b = 2 (a n d c = \sqrt{5})

\Rightarrow S_{m a x} = \frac{1 \times 2}{2} = 1

Commented by SLVR last updated on 17/Jan/22

e x t r e e m l y g r e a t s i r \dots g o d b l e s s

y o u s i r

Facebook Tweet Pin