Question

Знайдіть катет АВ прямокутного трикутника АВС, якщо його прое ція на гіпотенузу дорівнює 2 см, а проекція катета ВС на гіпотенузу 10,5 см.​

Answer 1

Дано:

∆АВС- прямоугольный

∠В=90°

ВН ⊥ АС

АН=2см

СН=10,5см

АВ=?

________

Решение:

АС=АН+НС=2+10,5=12,5см гипотенуза

Пропорциональные отрезки прямоугольного треугольника.

АВ=√(АН*АС)

АВ=√(2*12,5)=√25=5см

Ответ: АВ=5см

Answer 2

Finding the Length of Side AB in a Right Triangle

To find the length of side AB in a right triangle ABC, we are given that the projection of side AB onto the hypotenuse is 2 cm, and the projection of side BC onto the hypotenuse is 10.5 cm.

Let's denote the length of side AB as x.

Using the given information, we can set up the following equation:

x/10.5 = 2/x

To solve this equation, we can cross-multiply:

x^2 = 2 * 10.5

Simplifying further:

x^2 = 21

Taking the square root of both sides:

x = √21

Therefore, the length of side AB in the right triangle ABC is approximately √21 cm.

Please note that the search result snippet provided does not directly address the specific question asked. However, the solution provided above is derived from the given information and the principles of right triangles.