Question

AC= 15 см; ∢ B= 45°;∢ C= 60°. Ав?​

Answer 1

Ответ:

$15 \sqrt{2}$

Answer 2

Based on the given information, we have a triangle ABC with the following measurements:

Side AC = 15 cm (length of side AC) Angle B = 45° (measure of angle B) Angle C = 60° (measure of angle C)

To find the length of side AB (denoted as "a"), we can use the Law of Sines, which states:

a/sin(A) = b/sin(B) = c/sin(C)

Since we are looking for side AB, we can set up the equation as follows:

a/sin(A) = AC/sin(C)

Plugging in the known values:

a/sin(45°) = 15 cm/sin(60°)

Now we can solve for side AB:

a = (15 cm * sin(45°)) / sin(60°)

Using a calculator, we can evaluate sin(45°) and sin(60°) to get their respective values:

sin(45°) ≈ 0.7071 sin(60°) ≈ 0.8660

Substituting these values into the equation:

a = (15 cm * 0.7071) / 0.8660 a ≈ 12.25 cm

Therefore, the length of side AB is approximately 12.25 cm.