A right isosceles triangle has a side length of 13.2, 13.2 and 18.6 m. What is the hypotenuse of the similar triangle with legs 4.4 m in length?
To find the hypotenuse of the similar triangle, we need to find the ratio of the lengths of the corresponding sides of the two triangles.
In the first triangle, the ratio of the length of the longer leg to the hypotenuse is 13.2/18.6.
In the similar triangle, the ratio of the length of the longer leg to the hypotenuse is 4.4/x.
We can set up a proportion to solve for x:
13.2/18.6 = 4.4/x
Cross-multiplying, we get:
13.2x = 18.6 * 4.4
13.2x = 81.84
Dividing both sides by 13.2, we get:
x = 6.2
Therefore, the hypotenuse of the similar triangle is 6.2 m.