Question

Радиус окружности описанной около прямоугольного треугольника =16 см. найдите гипотенузу этого треугольника СРОЧНО! ​

Answer 1

если в прямоугольном треугольнике описана окружность,то гипотенуза является диаметром окружности

16•2=32 см

Answer 2

Finding the Hypotenuse of a Right Triangle

To find the hypotenuse of a right triangle, we need to use the radius of the circle circumscribed around the triangle. In this case, the radius of the circumscribed circle is given as 16 cm.

Let's denote the sides of the right triangle as follows: - The hypotenuse as c - One of the legs as a - The other leg as b

According to the properties of a right triangle, the hypotenuse is the longest side and is opposite the right angle. We can use the Pythagorean theorem to find the length of the hypotenuse.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, this can be expressed as:

c^2 = a^2 + b^2

In our case, we are given the radius of the circumscribed circle, which is equal to the length of the hypotenuse. Let's substitute the value of the radius into the equation:

16^2 = a^2 + b^2

Simplifying the equation, we have:

256 = a^2 + b^2

Unfortunately, the search results provided by You.com do not contain the specific values of the legs of the triangle. Therefore, we cannot determine the exact lengths of the legs or the hypotenuse of the triangle based on the information given.

If you have any additional information or if there is anything else I can assist you with, please let me know!