mike has 2 mats that are in the shape of triangles. the scale factor of the 2 triangles maths is 7/4. what is the ratio of the perimeter?
To find the ratio of the perimeters of the two triangles, you need to know the scale factor and the relationship between the perimeters of similar figures.
The scale factor of the two triangles is given as 7/4. This means that the corresponding sides of the two triangles are in a ratio of 7/4.
The ratio of the perimeters of similar figures is the same as the ratio of their corresponding sides. Therefore, the ratio of the perimeters of the two triangles will also be 7/4.
So, the ratio of the perimeter of the first triangle to the perimeter of the second triangle is 7/4.
To find the ratio of the perimeters, we need to compare the lengths of the sides of the two triangles.
Let's denote the length of the sides of the first triangle as a, b, and c. Similarly, let's denote the length of the sides of the second triangle as x, y, and z.
The scale factor is given as 7/4, which implies that the corresponding sides of the two triangles are proportional. So, we have the following ratios:
a : x = b : y = c : z = 7/4
To find the ratio of the perimeters, we add up the side lengths of each triangle.
Perimeter of the first triangle = a + b + c
Perimeter of the second triangle = x + y + z
Since the scale factor is the same for each corresponding side, we can find the ratio of the perimeters by using the same scale factor to add up the side lengths:
(a + b + c) : (x + y + z) = 7/4
Therefore, the ratio of the perimeters is 7/4.