The areas of two similar triangles are 72dm^2 and 50dm^2. The sum of their perimeters is 226dm. What is the perimeter of each of
1 answer:
Answer:
Per2 = 102.727 dm
Per1 = 123.272 dm
Step-by-step explanation:
We know that the area of similar triangles are related to the square of their perimeters.
This means that
(Per1^2)/(Per2^2) = Area1 / Area2
If we take the square root of the previous equation
(Per1)/(Per2) =
(Per1)/(Per2) =
(Per1)/(Per2) = 1.2
We also know that
Per1 + Per2 = 226 dm
So,
1.2*Per2 + Per2 = 226 dm
2.2*Per2 = 226 dm
Per2 = 102.727 dm
Per1 = 1.2*Per2 = 123.272 dm
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Note: You did not provide any info about EF. If you have additional information that you did not type in, calculate EF and add it to 11 to find the length of CF.