Question

15. The dimensions of a triangle with base 4 m and neight 5 m are multiplied by 3. How is the area affected? multiplied by​

Answer 1

Ответ:

Since area of a triangle equals to a*h/2, if a and h are multiplied by 3, the area of a triangle would become 9 times greater.

S1 = 4 * 5 / 2 = 10

S2 = 4 * 5 * 3 * 3 / 2 = 90

Answer 2

To find the area of a triangle, we use the formula:

Area = (base * height) / 2

Given that the base of the triangle is 4 m and the height is 5 m, we can calculate the area as:

Area = (4 * 5) / 2 = 10 m²

Now, if the dimensions of the triangle are multiplied by 3, the new base and height will be:

New base = 4 m * 3 = 12 m New height = 5 m * 3 = 15 m

Using the formula mentioned above, we can calculate the new area:

New Area = (12 * 15) / 2 = 180 m²

Therefore, when the dimensions of the triangle are multiplied by 3, the area of the triangle is multiplied by 3² = 9. The area is increased by a factor of 9.