The scale factor of two similar triangles is 2/5. if the perimeter of the small triangles is 80 cm, what is the perimeter of the large triangle?
2/5=80/P
P=5*80/2
To find the perimeter of the large triangle, we need to determine the scale factor between the two triangles and then use it to calculate the perimeter.
In this case, the scale factor is given as 2/5, which means that the corresponding sides of the large triangle are 2/5 times the length of the corresponding sides of the small triangle.
Let's assume the perimeter of the small triangle is P1 and the perimeter of the large triangle is P2.
Since the scale factor is applied to all sides, we can set up the following equation:
P2 = (2/5) * P1
We are given that P1 is 80 cm, so substituting the value, we have:
P2 = (2/5) * 80
Simplifying the expression, we get:
P2 = 32 cm
Therefore, the perimeter of the large triangle is 32 cm.