Question

if the length of each side of a triangle is cut to 1over3 of its original size, what happens to the area of the triangle? please help!!

Answer 1

area will decrease by 3^2 or 1/9 th time of the original.

Answer 2

if an equilateral triangle

area= 1/2 l^2 sin 60
=\[\sqrt{3}/4\] l

area original : 1/2 l^2 sin 60
area of the new one: 1/2 (l/3)^2 sin 60
1/2 (1/9)^2 sin 60
=\[\sqrt{3}/36 l\]

\[\frac{ \sqrt{3}l/3}{ \sqrt{3}l/36 }\]
1/9th of the original