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?
In a right isosceles triangle, the two legs are congruent, which means they have the same length. In this case, the legs are both 13.2 meters long.
Let's set up a proportion to find the hypotenuse:
(leg of similar triangle) / (leg of original triangle) = (hypotenuse of similar triangle) / (hypotenuse of original triangle)
4.4 / 13.2 = (hypotenuse of similar triangle) / 18.6
To find the hypotenuse of the similar triangle, we can cross-multiply and solve for it:
hypotenuse of similar triangle = (4.4 * 18.6) / 13.2
hypotenuse of similar triangle = 6.2 meters
Therefore, the hypotenuse of the similar triangle is 6.2 meters.