Question

If the length of each side of a triangle is cut to 1/3 of its original size, what happens to the area of the triangle?

Answer 1

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 $\times$ base  $\times$  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  $\times$ (1/3 $\times$ base)  $\times$  (1/3  $\times$ height)

   = 1/9  $\times$ 1/2  $\times$ base  $\times$ height

   = 1/9  $\times$ Area.

The new area of the triangle is 1 / 9 th of the original area.