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???
To find the ratio of the areas of the smaller triangle to the bigger triangle, we need to square the ratio of their corresponding side lengths.
The corresponding side lengths are:
Height:
Smaller triangle: 12
Bigger triangle: 5
Ratio (height): 12/5 = 2.4
Width:
Smaller triangle: 6
Bigger triangle: 3
Ratio (width): 6/3 = 2
Length:
Smaller triangle: 10
Bigger triangle: 2
Ratio (length): 10/2 = 5
Now we square these ratios:
Ratio of heights squared: (2.4)^2 = 5.76
Ratio of widths squared: (2)^2 = 4
Ratio of lengths squared: (5)^2 = 25
Finally, we multiply these squared ratios together to find the overall ratio:
Overall ratio = 5.76 * 4 * 25 = 576
Therefore, the ratio of the smaller triangle's area to the bigger triangle's area is 576:1.