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?

1 answer

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}.