Question

Знайти катет прямокутного трикутника ,якщо його гіпотенуза і другий катет дорівнюють 8 дм і √28 дм ПОМОГИТЕ ПОЖАЛУЙСТА СРОЧНО !!!!!

Answer 1

Ответ:

6 дм

Объяснение:

Гіпотенуза - 8 дм

І катет - √28 дм

Нехай трикутник АВС - прямокутний, АВ - гіпотенуза, АС - відомий катет, ВС - катет, який потрібно знайти.

За теоремою Піфагора:

ВС² + АС² = АВ²

То ВС = √АВ² - АС²

ВС = √8² - (√28)² = √64 - 28 = √36 = 6 (дм)

В-дь: 6 дм

Answer 2

Finding the Length of the Second Leg of a Right Triangle

To find the length of the second leg of a right triangle, we can use the Pythagorean theorem, which 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.

Let's denote the length of the hypotenuse as c and the length of the second leg as b. According to the given information, the length of the hypotenuse (c) is 8 dm and the length of the second leg (√28 dm).

Using the Pythagorean theorem, we can set up the following equation:

c^2 = a^2 + b^2

Substituting the given values:

(8 dm)^2 = a^2 + (√28 dm)^2

Simplifying:

64 dm^2 = a^2 + 28 dm

Rearranging the equation:

a^2 = 64 dm^2 - 28 dm^2

a^2 = 36 dm^2

Taking the square root of both sides:

a = √36 dm

a = 6 dm

Therefore, the length of the second leg of the right triangle is 6 dm.

Please note that the sources provided did not directly answer the question. The solution was derived using the Pythagorean theorem and basic algebraic manipulation.