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

Answer 1

First, we need to find the length of the hypotenuse of the original right isosceles triangle. We can use the Pythagorean theorem to do this:

a^2 + b^2 = c^2
(13.2)^2 + (13.2)^2 = c^2
174.24 + 174.24 = c^2
348.48 = c^2
c = √348.48
c ≈ 18.68 meters

Now, since the two triangles are similar, the ratio of the lengths of corresponding sides in the two triangles is the same.

Therefore, using this ratio:

(18.68/13.2) = (x/4.4)

Solving for x:

18.68 * 4.4 = 13.2x
82.27 = 13.2x
x = 6.22 meters

So, the hypotenuse of the similar triangle with legs 4.4 meters in length is 6.22 meters.