A triangle has 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 2 sides? Write the smaller side length first and the larger side length second. The smaller side length is blank inches and the larger size length is blank inches.
1.9 and 2.4! :3
We can set up a proportion to solve for the lengths of the other two sides. Let's call the lengths of the other two sides $x$ and $y$. We can write the proportion as:
$\frac{x}{y} = \frac{1.4}{4.2}$
To solve for $x$ and $y$, we can cross-multiply:
$4.2x = 1.4y$
Now, we can substitute the given values of $x$ and $y$ into the equation and solve for them.
To find the lengths of the other two sides of a similar triangle, we can set up a proportion using the corresponding side lengths of the two triangles.
Let's call the lengths of the other two sides of the similar triangle "x" and "y".
Using the given information, we can set up the following proportion:
4.2/1.4 = x/5.7 = y/7.2
Now, let's solve for "x" first:
4.2/1.4 = x/5.7
Cross-multiplying, we get:
4.2 * 5.7 = 1.4 * x
23.94 = 1.4 * x
Dividing both sides by 1.4, we find:
x = 17.1/1.4
x ≈ 12.21
Next, let's solve for "y":
4.2/1.4 = y/7.2
Cross-multiplying:
4.2 * 7.2 = 1.4 * y
30.24 = 1.4 * y
Dividing both sides by 1.4, we get:
y = 30.24/1.4
y ≈ 21.6
Therefore, the lengths of the other two sides of the similar triangle are approximately 12.21 inches and 21.6 inches.