A right triangle has sides lengths of13.2, 13.2, and 18.6 meters. What is the hypotenuse of a similar triangle with legs 4.4 meters in length?
Let the hypotenuse of the similar triangle be x meters.
According to the properties of similar triangles, the corresponding sides are proportional.
So, we have the proportion:
13.2/4.4 = 18.6/x
Simplifying this, we get:
3 = 18.6/x
Multiplying both sides of the equation by x, we get:
3x = 18.6
Dividing both sides of the equation by 3, we get:
x = 6.2 meters.
Therefore, the hypotenuse of the similar triangle is 6.2 meters. Answer: \boxed{6.2}.
To find the hypotenuse of a similar triangle, we can use the concept of similar triangles which states that corresponding angles of similar triangles are equal and corresponding sides are in proportion.
Given that the legs of the original right triangle are 13.2 meters long, and the hypotenuse is 18.6 meters, we can set up a proportion to find the length of the hypotenuse of the similar triangle.
Let "x" represent the length of the hypotenuse of the similar triangle. The proportion is:
13.2/18.6 = 4.4/x
Now, we can cross-multiply and solve for "x":
13.2 * x = 18.6 * 4.4
13.2 * x = 81.84
Dividing both sides by 13.2:
x = 81.84 / 13.2
x ≈ 6.2
Therefore, the hypotenuse of the similar triangle with legs 4.4 meters in length is approximately 6.2 meters.