Question

В прямоугольном треугольнике АВС катет ВС равен 3см , угол А=30градусам.Найдите катет АС

Answer 1

Строишь треугольник с прямым углом вверху, затем катет, лежащий против угла в 30 градусов равен половине гипотенузы, то есть гипотенуза AC=3+3=6
Затем по теореме пифагора:
AB^2=6^2-3^2=25
AB=корень из 25=5
Ответ: 5

Answer 2

Finding the Length of Side AC in a Right-Angled Triangle

To find the length of side AC in the right-angled triangle ABC, where BC = 3 cm and angle A = 30 degrees, we can use trigonometric functions and the Pythagorean theorem.

Using Trigonometric Functions:

We can use the sine function to find the length of side AC. The sine of an angle in a right-angled triangle is the ratio of the length of the opposite side to the length of the hypotenuse.

The formula for the sine function is: sin(A) = opposite / hypotenuse

In this case, we can use the sine function to find the length of side AC: sin(30 degrees) = AC / 3 cm

Solving for AC: AC = 3 cm * sin(30 degrees)

Using the trigonometric function, we can calculate the length of side AC.

Calculation: AC = 3 cm * sin(30 degrees) = 3 cm * 0.5 = 1.5 cm

Therefore, the length of side AC in the right-angled triangle ABC is 1.5 cm.