A right isosceles triangle has side length 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

In a right isosceles triangle, the two legs are congruent, meaning they have the same length. In this case, the legs of the given triangle are 13.2 meters and 13.2 meters. The hypotenuse is the side opposite the right angle.

Now, we are given a similar triangle with legs that are 4.4 meters in length.

Since the two triangles are similar, their corresponding sides are proportional.

The ratio of the lengths of corresponding sides in similar triangles is equal to the ratio of their perimeters.

Let's consider the ratio of corresponding sides in terms of the legs:

13.2/4.4 = 18.6/x

Cross-multiplying, we get:

13.2x = 4.4 * 18.6

13.2x = 81.84

Dividing both sides by 13.2, we get:

x = 81.84/13.2

x ≈ 6.2

Therefore, the hypotenuse of the similar triangle with legs 4.4 meters in length is approximately 6.2 meters.