A right isosceles triangle has side lengths of 13.2, 13.2, and 18.6 meters. What is the hypotenuse of a similar triangle with legs 4.4 meters in length?(1 point) meters
We can set up a proportion to solve for the length of the hypotenuse in the similar triangle.
The ratio of the lengths of the corresponding sides in similar triangles is equal.
In the right isosceles triangle:
The ratio of the length of the shorter leg to the hypotenuse is 13.2/18.6.
In the similar triangle:
The ratio of the length of the shorter leg to the hypotenuse is 4.4/x, where x is the length of the hypotenuse.
Setting up the proportion:
13.2/18.6 = 4.4/x
Cross-multiplying the equation:
13.2 * x = 4.4 * 18.6
Simplifying the equation:
13.2 * x = 81.84
Dividing both sides by 13.2:
x = 81.84/13.2
Calculating the value of x:
x = 6.2
Therefore, the hypotenuse of the similar triangle is 6.2 meters. Answer: \boxed{6.2}.