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.
Step-by-step explanation:
The area of a triangle is given by, Area = 1/2 [tex]\times[/tex] base [tex]\times[/tex] 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 [tex]\times[/tex] (1/3 [tex]\times[/tex] base) [tex]\times[/tex] (1/3 [tex]\times[/tex] height)
= 1/9 [tex]\times[/tex] 1/2 [tex]\times[/tex] base [tex]\times[/tex] height
= 1/9 [tex]\times[/tex] Area.
The new area of the triangle is 1 / 9 th of the original area.
