a triangle has a sides of lengths 4.2,5.7,and 7.2 inches the smallest side of a similar triangle is 1.4 inches what are the lengths of the other two sides
the smaller side length is __________ inches and the larger side length is _________ inches
To find the lengths of the other two sides of the similar triangle, we can set up a proportion.
Let x be the smallest side length of the similar triangle.
Using the proportion of corresponding sides, we have:
x/1.4 = 4.2/7.2
Cross-multiplying, we get:
7.2x = 5.88
Dividing both sides by 7.2, we find:
x = 0.8167 inches
The larger side length of the similar triangle can be found using another proportion:
x/1.4 = 5.7/7.2
Cross-multiplying, we have:
7.2x = 8.4
Dividing both sides by 7.2, we find:
x = 1.1667 inches
Therefore, the smaller side length is 0.8167 inches and the larger side length is 1.1667 inches.