Answer:
Step-by-step explanation:
The perimeter of any object is found by adding all the lengths of the sides together. Our perimeter is 45. Therefore, side a + side b + side c = 45. We know that the ratio is 5:12:13. We can either reduce these down by a factor of 5 or we can leave it the way it is and work from there. Either way you get the same answer. Let's leave it.
The sum of the ratios is 5 + 12 + 13 = 30. We have 2 equations now:
a + b + c = 45
5 + 12 + 13 = 30
Let's say for the sake of argument that a is to 5 as b is to 12 as c is to 13 as 45 is to 30. We can set up proportions to solve for the lengths:
[tex]\frac{5}{a}=\frac{30}{45}[/tex]
Cross multiply to get
30a = 225 and
a = 7.5
[tex]\frac{12}{b} =\frac{30}{45}[/tex]
Cross multiply to get
30b = 540 and
b = 18
[tex]\frac{13}{c} =\frac{30}{45}[/tex]
Cross multiply to get
30c = 585 and
c = 19.5
Let's add them together to make sure we get 45 as a sum:
7.5 + 18 + 19.5 = 45
