Question

The hypotenuse of a 45°-45°-90° triangle measures 22 square root of 2 units. What is the length of one leg of the triangle?

Answer 1

The length of one leg of a 45°-45°-90° triangle is 22 units.

Step-by-step explanation:

The length of one leg of a 45°-45°-90° triangle can be found using the ratios of the sides. In a 45°-45°-90° triangle, the two legs are congruent. Let's represent the length of one leg by x. According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the squares of the legs. So, we have the equation x^2 + x^2 = (22√2)^2.

Simplifying the equation, we get 2x^2 = 22^2 * 2. Cancelling out the 2, we are left with x^2 = 22^2, which gives us x = 22.

Therefore, the length of one leg of the triangle is 22 units.

Answer 2

this is a case of a Special triangle of 45, 45 and 90 degrees, in this cases the two legs with be equal.
if the hypotenuse is 22, then divide by the square root of 2, and you will get 15.6 if we round it to the nearest tenth