Hey triangle has sides of lengths 4.2, 5.7, and 7.2 inches the smallest side of a similar triangle is 4.1 inches. What are the links of the other two sides write the similar side length first and the larger side length second
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 using the corresponding sides of the original and similar triangles.
Let's label the lengths of the sides of the similar triangle as x (smaller side length) and y (larger side length). We can set up the following proportion:
4.1 / 4.2 = x / y
Cross-multiplying, we get:
4.1y = 4.2 * x
To solve for y, we divide both sides of the equation by 4.1:
y = (4.2 * x) / 4.1
Now we need to find the value of x.
We know that the original triangle has sides of lengths 4.2, 5.7, and 7.2 inches. Since x is the corresponding side to 4.1 inches, we can set up another proportion:
4.1 / 4.2 = x / 5.7
Cross-multiplying, we get:
4.1 * 5.7 = 4.2 * x
To solve for x, we divide both sides of the equation by 4.2:
x = (4.1 * 5.7) / 4.2
Now we can substitute this value of x back into the equation for y:
y = (4.2 * x) / 4.1
Calculating the values:
x = (4.1 * 5.7) / 4.2 ≈ 5.5714 inches
y = (4.2 * 5.5714) / 4.1 ≈ 5.7000 inches
Therefore, the lengths of the other two sides of the similar triangle are approximately 5.5714 inches (smaller side length) and 5.7000 inches (larger side length).
The smaller side length is approximately 5.5714 inches, and the larger side length is approximately 5.7000 inches.