Question

if every side of a triangle is doubled, then increase in area is-

Answer 1

Answer:The area will increase by 300%. The area of triangle with double sides will be 4 times area of initial triangle

Step-by-step explanation:Heron's formula states for a triangle with sides of lengths a,b,c

A=

[s∗(s−a)∗(s−b)∗(s−c)]

​

where s = (a+b+c)/2

If you double the sides A=

[2s∗(2s−2a)∗(2s−2b)∗(2s−2c)]

​

= 4*A=

[s∗(s−a)∗(s−b)∗(s−c)]

​

= 4*A

The increase in area is 4*A-A = 3*A so the

Answer is 300

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Answer 2

Answer:

4 times

Step-by-step explanation:

consider side of triangle as 'A'

then area of triangle would be= √3/4(side)^2=√3/4(A)^2. .....1

if side increases to 2A then

Area would be √3/4 (2A)^2. ....2

then if we compare both equations we will find that it would be 4 times the original area.. .

Hope it helps u.