Two similar triangles have the scale factor of 3:7. Find the ratio of their corresponding perimeters and area
perimeter is a linear measurement, so their
perimeters are also in the ratio of 3:7
The ratio of their areas is the square of their matching sides, so
9 : 49
what are u doing
To find the ratio of their corresponding perimeters, you can simply divide the lengths of the corresponding sides.
Let's assume the side lengths of the smaller triangle are 3 units, and the side lengths of the larger triangle are 7 units.
The ratio of their corresponding perimeters is:
Perimeter ratio = (Perimeter of larger triangle)/(Perimeter of smaller triangle)
Since the perimeters are directly proportional to the side lengths, we can write:
Perimeter ratio = 7/3
So, the ratio of their corresponding perimeters is 7:3.
To find the ratio of their corresponding areas, you can square the scale factor.
Area ratio = (Scale factor)^2
In this case, the scale factor is 3:7, so the area ratio is:
Area ratio = (3/7)^2 = 9/49
So, the ratio of their corresponding areas is 9:49.
To find the ratio of the corresponding perimeters of two similar triangles, we can simply use the same scale factor. In this case, the scale factor is 3:7. So, the ratio of their perimeters would be 3:7.
To find the ratio of the corresponding areas of two similar triangles, we need to use the square of the scale factor. In this case, the scale factor is 3:7. So, the ratio of their areas would be (3^2):(7^2) = 9:49.
Therefore, the ratio of the corresponding perimeters is 3:7, and the ratio of the corresponding areas is 9:49.