Question

Триугольник ABC LC=90° LB=60° BC=6см AB=?

Answer 1

Так как треугольник прямоугольный, то косинус угла В равнн отношению ВС(прилежащий катет) к АВ(гипотенуза), следовательно 6/АВ=cos60

6/AB=1/2

АВ=6*2=12

Ответ:12 см

Answer 2

To solve this triangle, we can use trigonometric ratios. Given that angle LC = 90° and angle LB = 60°, we can find the value of angle LA using the fact that the sum of angles in a triangle is 180°.

Step 1: Find the value of angle LA: LA = 180° - LC - LB LA = 180° - 90° - 60° LA = 30°

Step 2: Use the law of sines to find the length of side AB: The law of sines states: a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the side lengths, and A, B, and C are the opposite angles, respectively.

Let's call the length of side AB as "x."

sin(60°)/6 = sin(30°)/x

Now, we can solve for "x":

x = 6 * (sin(30°) / sin(60°)) x = 6 * (0.5 / (√3/2)) x = 6 * (0.5 * 2/√3) x = 6 * (1/√3) x = 6/√3 x ≈ 3.4641 cm

So, the approximate length of side AB is 3.4641 cm.