Question

а =6 ; угол В =50 градусов ; угол С= 70 градусов найти: в,с,угол А

Answer 1

по теореме синусов   а/sinC=b/sinA=c/sinB    A=180-50-70=60   6/sin70=b/sin60=c/sin50    b=(sin60*6) /sin70=5,5    с=(sin50*6) /sin70=0,04

Answer 2

Given Information:

We are given the following information: - a = 6 - Angle B = 50 degrees - Angle C = 70 degrees

We need to find the values of: - Side lengths a, b, and c - Angle A

Solution:

To find the side lengths a, b, and c, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Using this information, we can find the missing angle A.

Let's start by finding angle A: - Angle A = 180 - (Angle B + Angle C) - Angle A = 180 - (50 + 70) - Angle A = 180 - 120 - Angle A = 60 degrees

Now, let's find the side lengths a, b, and c: - Side a is already given as a = 6. - To find side b, we can use the law of sines: - (sin B) / b = (sin A) / a - (sin 50) / b = (sin 60) / 6 - b = (6 * sin 50) / sin 60 - To find side c, we can use the law of sines: - (sin C) / c = (sin A) / a - (sin 70) / c = (sin 60) / 6 - c = (6 * sin 70) / sin 60

Using the above formulas, we can calculate the values of b and c.

Calculation:

- Angle A = 60 degrees - Side a = 6 - Side b = (6 * sin 50) / sin 60 - Side c = (6 * sin 70) / sin 60

Let's calculate the values of b and c using the given formulas:

- Side b: - b = (6 * sin 50) / sin 60 - b ≈ 5.196

- Side c: - c = (6 * sin 70) / sin 60 - c ≈ 7.794

Therefore, the values of the side lengths are approximately: - Side a ≈ 6 - Side b ≈ 5.196 - Side c ≈ 7.794

The values of the side lengths are approximately: - Side a ≈ 6 - Side b ≈ 5.196 - Side c ≈ 7.794

The value of angle A is 60 degrees.

Summary:

Based on the given information, the values of the side lengths and angle A are approximately: - Side a ≈ 6 - Side b ≈ 5.196 - Side c ≈ 7.794 - Angle A ≈ 60 degrees

Please note that these values are approximate due to rounding.

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