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?
To find the hypotenuse of a similar triangle, we can use the concept of proportionality. Since the two triangles are similar, the ratio of corresponding sides will be the same.
In the right isosceles triangle, the ratio of the legs to the hypotenuse is:
13.2 / 18.6
To find the hypotenuse of the similar triangle with legs 4.4 meters in length, we can set up the proportion:
4.4 / x = 13.2 / 18.6
Cross multiplying, we have:
4.4 * 18.6 = 13.2 * x
81.84 = 13.2 * x
Dividing both sides by 13.2:
x = 81.84 / 13.2
x ≈ 6.21
Therefore, the hypotenuse of the similar triangle is approximately 6.21 meters.