Question

If each side of a triangle is double then its area will increase by how much ?

Answer 1

`"the area increases by a factor of 4"`

Explanation:

`"the area (A) of a triangle is calculated using"`

`•color(white)(x)A=1/2bhlarrcolor(blue)"original area"`

`"doubling the sides gives "b=2b" and "h=2h`

`rArrA=1/2xx2bxx2h=2bhlarrcolor(blue)"area after doubling"`

`1/2bhxxcolor(red)(4)=2bh`

`"hence area increases by a factor of 4"`