Question

그
If every side of a triangle is
increase in area of triangle so
formed.​

Answer 1

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 (C) 300%

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Answer 2

Step-by-step explanation:

If the sides are doubled, then the area becomes 6*8/2 = 24 sq units. Hence, if the sides of the triangle are doubled then the area becomes 4 times the original area or there is an increase of 300%. Heron's formula for area A = sqrt[ p(p-a)(p-b)(p-c)], where p=(a+b+c)/2 and a,b,c are lengths of sides of the triangle.