Question

В прямоугольном треугольнике ABC LC=90°, LB=30°, AC=5. Найдите катет BC​

Answer 1

Ответ:

2,5см

Объяснение:

катет лежащий против угла в 30 градусов равен половине гипотенузы=>АВ=1/2 ВС=> 5:2=2,5см

Answer 2

Given Information

We are given the following information about a right triangle ABC: - LC = 90° (angle C is a right angle) - LB = 30° - AC = 5

We need to find the length of the leg BC.

Solution

To find the length of BC, we can use trigonometric ratios in a right triangle.

Let's use the sine ratio to find BC. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse.

In this case, the angle B is opposite side BC, and the hypotenuse is AC.

So, we have: sin(B) = BC/AC

We know that LB = 30°, so we can substitute the value of sin(B) using a trigonometric table or calculator.

Now, let's substitute the known values into the equation: sin(30°) = BC/5

Using the value of sin(30°) = 0.5, we can solve for BC: 0.5 = BC/5

To find BC, we can multiply both sides of the equation by 5: 0.5 * 5 = BC BC = 2.5

Therefore, the length of the leg BC is 2.5.