Answer:
The new area of the triangle is (1 / 9) th of the original area.
That is to say the original area of the triangle is decreased to (1/9) th of its value.
Explanation:
The area of a triangle is given by, Area = 1/2
base
height
If each side of a triangle is cut to 1/3 of its original size then the base will also become one third and the height will also become one third.
Therefore the new area will be given by = 1/2
(1/3
base)
(1/3
height)
= 1/9
1/2
base
height
= 1/9
Area.
The new area of the triangle is 1 / 9 th of the original area.