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 answer

To find the hypotenuse of a similar triangle with legs of 4.4 meters, we need to first find the scale factor between the two triangles.

The scale factor is the ratio of the corresponding lengths in the two triangles. In this case, the scale factor is calculated by dividing the length of the longer leg in the larger triangle (18.6 meters) by the corresponding length in the smaller triangle (4.4 meters).

Scale factor = 18.6 / 4.4 = 4.227

Now, we can find the length of the hypotenuse in the similar triangle by multiplying the scale factor by the corresponding length in the larger triangle.

Hypotenuse = 13.2 * 4.227 = 55.862 meters

Therefore, the hypotenuse of a similar triangle with legs of 4.4 meters is approximately 55.862 meters.