triangle has side length of 4.2, 547, and 7.2 inches the smallest side of a similar triangle is 1.4 inches what are the length of the other two sides right the smaller side length first and the larger side length second
To determine the length of the smaller side of the similar triangle, you can set up a proportion using the known lengths of the sides. Let's call the smaller side of the similar triangle "x".
Using the proportion: (smaller side of original triangle) / (larger side of original triangle) = (smaller side of similar triangle) / (larger side of similar triangle), we have:
4.2 / 547 = 1.4 / x
Now, we can cross multiply and solve for x:
4.2x = 547 * 1.4
4.2x = 765.8
x = 765.8 / 4.2
x ≈ 182.33
So, the length of the smaller side of the similar triangle is approximately 182.33 inches.
To find the larger side of the similar triangle, we can use another proportion. Let's call it "y".
Using the same proportion as before: (4.2 / 547) = (1.4 / y), we can solve for y:
4.2 / 547 = 1.4 / y
Cross multiply and solve for y:
4.2y = 1.4 * 547
4.2y = 765.8
y = 765.8 / 4.2
y ≈ 182.33
So, the length of the larger side of the similar triangle is approximately 182.33 inches.
In conclusion, the length of the smaller side of the similar triangle is approximately 182.33 inches, and the length of the larger side of the similar triangle is also approximately 182.33 inches.