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GeometryQuestion and Answers: Page 37

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if a+b+c=0, find the maximum of ((∣a+2b+3c∣)/( (√(a^2 +b^2 +c^2 )))).

$i f a + b + c = 0, f i n d t h e m a x i m u m o f$ $\frac{∣ a + 2 b + 3 c ∣}{\sqrt{a^{2} + b^{2} + c^{2}}} .$

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one side of a triangle is 20 cm. the other two sides are in ratio 1:3. 1) what is the maximum area of the triangle, if exists? 2) what is the maximun perimeter of the triangle, if exists?

$o n e s i d e o f a t r i a n g l e i s 20 c m . t h e$ $o t h e r t w o s i d e s a r e i n r a t i o 1 : 3 .$ $1) w h a t i s t h e m a x i m u m a r e a o f t h e$ $t r i a n g l e, i f e x i s t s ?$ $2) w h a t i s t h e m a x i m u n p e r i m e t e r$ $o f t h e t r i a n g l e, i f e x i s t s ?$

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