what is the ratio of the smaller triangle in relation to the area of the bigger triangle

big traingle; hieght of 5,9 width of 5,3 and length of 2,3

small traingle: height of 12,6 width of 12,2 and length of 10,2

1 answer

To find the ratio of the smaller triangle's area to the larger triangle's area, we need to calculate the areas of both triangles.

The area of a triangle is given by the formula: (base * height) / 2.

For the larger triangle:
Area = (5 + 9) / 2 * (5 + 3) / 2 = 7 * 4 = 28.

For the smaller triangle:
Area = (12 + 6) / 2 * (12 + 2) / 2 = 9 * 7 = 63.

Therefore, the ratio of the smaller triangle's area to the larger triangle's area is 63:28, which can be simplified to 9:4.