Question

У трикутнику АВС відомо, що АВ = 8 см, sin С = 0,16. Знайдіть радіус кола, описаного навколо трикутника АВС.

Answer 1

Ответ:

25 см

Объяснение:

Дано:

АВ=8см

sinC=0,16

Знайти:

R-?

За теоремою синусів:

АВ/sinC=2R=>

R=AB/(2sinC)=8/(2*0,16)=25см

Answer 2

Problem Analysis

We are given a triangle ABC with known side AB = 8 cm and sin C = 0.16. We need to find the radius of the circle circumscribed around triangle ABC.

Solution

To find the radius of the circle circumscribed around triangle ABC, we can use the following formula:

R = AB / (2 * sin C)

Substituting the given values, we have:

R = 8 cm / (2 * 0.16)

Calculating the value, we get:

R = 8 cm / 0.32 = 25 cm

Therefore, the radius of the circle circumscribed around triangle ABC is 25 cm.

Conclusion

The radius of the circle circumscribed around triangle ABC is 25 cm.