2. I cach sido ol a rianagle is doublod hen how many limos tho area of

1.	2. I cach sido ol a rianagle is doublod hen how many limos tho area ofriangle increased?
Answer» area of triangle increases four times. Let the original sides be a, b, c S=(a+b+c) /2 2S=a+b+c Now, Area=S√S(S-a) (s-b) (s-c) New sides are 2a, 2b, 2c New S=(2a+2b+2c) /2 New S=2(a+b+c) /2 New S=a+b+C But a+b+C=2(Original S) (proved above) So, New S=2(original S) So, New area = √New S(New S-2a) (NewS-2b) (newS-2c) Let original S=x New area = √2x(2x-2a)(2x-2b) (2x-2c) New area = √2x2(x-a)2(x-b)2(x-c) New area=4×√(x-a) (x-b) (x-c) But x=original S So, new area = 4new area

2. I cach sido ol a rianagle is doublod hen how many limos tho area ofriangle increased?

Answer»

area of triangle increases four times.

Let the original sides be a, b, c

S=(a+b+c) /2

2S=a+b+c

Now, Area=S√S(S-a) (s-b) (s-c)

New sides are 2a, 2b, 2c

New S=(2a+2b+2c) /2

New S=2(a+b+c) /2

New S=a+b+C

But a+b+C=2(Original S) (proved above)

So, New S=2(original S)

So, New area = √New S(New S-2a) (NewS-2b) (newS-2c)

Let original S=x

New area = √2x(2x-2a)(2x-2b) (2x-2c)

New area = √2x*2(x-a)2*(x-b)*2(x-c)

New area=4×√(x-a) (x-b) (x-c)

But x=original S

So, new area = 4*new area