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Irina-Kira [14]
2 years ago
12

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?

Mathematics
1 answer:
Blababa [14]2 years ago
8 0

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.

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