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?
___meters
To find the hypotenuse of the similar triangle, we can use the property of similar triangles which states that the ratio of corresponding sides in similar triangles is equal.
In the right isosceles triangle, the ratio of the length of one leg to the hypotenuse is 13.2 : 18.6.
Let x represent the length of the hypotenuse in the similar triangle.
Therefore, the ratio of one leg to the hypotenuse in the similar triangle is 4.4 : x.
We can set up a proportion to find the value of x:
13.2/18.6 = 4.4/x
Cross multiplying, we get:
13.2x = 4.4 * 18.6
Dividing both sides by 13.2, we get:
x = (4.4 * 18.6) / 13.2
Simplifying the right side of the equation, we get:
x = 62.64 / 13.2
x ≈ 4.75
Therefore, the hypotenuse of the similar triangle is approximately 4.75 meters.