Question

Знайти гіпотенузу прямокутного трикутника iз гострим кутом а та висотою м, проведеною до гіпотенузи.(Срочно) ​

Answer 1

Объяснение:

м/sina+cosa..........

Answer 2

Finding the Hypotenuse of a Right-Angled Triangle

To find the hypotenuse of a right-angled triangle with acute angle *a* and a height *m* drawn to the hypotenuse, you can use the following formula:

Hypotenuse (c) = m / sin(a)

Where: - *c* is the hypotenuse - *m* is the length of the height - *a* is the acute angle

This formula utilizes the sine function to calculate the length of the hypotenuse based on the given angle and the length of the height drawn to the hypotenuse.

Let's proceed with an example to illustrate the application of this formula.

Example Calculation

Suppose we have a right-angled triangle with an acute angle of 30 degrees and a height of 5 units drawn to the hypotenuse. Using the formula mentioned earlier, we can calculate the length of the hypotenuse as follows:

Hypotenuse (c) = 5 / sin(30°)

Now, let's calculate the value using the sine function for 30 degrees.

Hypotenuse (c) ≈ 5 / 0.5 ≈ 10

So, the length of the hypotenuse in this example is approximately 10 units.

This formula provides a straightforward method for determining the length of the hypotenuse in a right-angled triangle when the acute angle and the length of the height drawn to the hypotenuse are known.