Question

СРОЧНО ПОЖАЛУЙСТА !!!!! Дан треугольник ABC если AB равно 15 BC равен 14 угол B равен 60° Найдите длину стороны АС ответ :корень из .... см​

Answer 1

Ответ:

211

Объяснение:

Правильно.

Answer 2

Finding the Length of Side AC in Triangle ABC

To find the length of side AC in triangle ABC, we can use the Law of Cosines. The Law of Cosines states that in a triangle with sides a, b, and c, and angle C opposite side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In this case, we are given that side AB is equal to 15, side BC is equal to 14, and angle B is equal to 60°. We need to find the length of side AC.

Let's substitute the given values into the Law of Cosines equation:

AC^2 = AB^2 + BC^2 - 2 * AB * BC * cos(B)

AC^2 = 15^2 + 14^2 - 2 * 15 * 14 * cos(60°)

Now, let's calculate the value of AC using the given equation:

AC^2 = 225 + 196 - 420 * cos(60°)

AC^2 = 421 - 420 * 0.5

AC^2 = 421 - 210

AC^2 = 211

Taking the square root of both sides, we can find the length of side AC:

AC = √211 cm

Therefore, the length of side AC in triangle ABC is approximately √211 cm.