Question

Area of triangle is x, square units. if the sides of this triangle is doubled thenthe area of the new triangle become x2 square units prove that x1:x2=1:4 also find the % increase in area
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Answer 1

let b= base and h=height

area of triangle = x1

=> ( bh )/ 2 = x1

when the sides are doubled

area of triangle = x2

=> 1/2 x 2b x 2h = x2

=>2bh = x2

x1 : x2 = bh/2 : 2bh

x1:x2 = 1:4

now

increase in area

= (x2-x1)

= (2bh -bh/2 )

= 3bh/2

therefore % increase in area

= { (3bh)/2 ÷ bh/2 } x100%

= 3 x 100%

= 300%

(P.S When sides are doubled, the area of new triangle will always be 4 times the original, the change in area will be 3 times. Hence the % change will always be 300% irrespective of the type of triangle.)

Answer 2

Answer:

Answer:THE ABOVE ANSWER IS CORRECT ITS WAS MY ACCOUNT WHICH GOT DELETED