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)
Since the given triangle is a right isosceles triangle, with two sides of length 13.2 meters, we can use the Pythagorean theorem to find the length of the hypotenuse.
Let the hypotenuse be x meters. According to the Pythagorean theorem, the squares of the two legs of a right triangle add up to the square of the hypotenuse.
Therefore, we have the equation:
(13.2)^2 + (13.2)^2 = x^2
Simplifying, we get:
174.24 + 174.24 = x^2
348.48 = x^2
Taking the square root of both sides, we get:
x = √348.48
x ≈ 18.66 meters
Therefore, the hypotenuse of a similar triangle with legs 4.4 meters in length is approximately 18.66 meters.