Question

В треугольнике MNK угол N равен 150 градусов MN равен 8 ,а площадь треугольника равна 20 .найти NK

Answer 1

S=1/[email protected]
b=2S:[email protected]; NK=2*20/8*1/2=40/4=10cm

Answer 2

I found some web search results that might help you with your question. Here is a detailed answer:

To find the length of NK, we can use the formula for the area of a triangle:

$$S = \frac{1}{2}ab\sin\alpha$$

where $S$ is the area, $a$ and $b$ are the lengths of two sides, and $\alpha$ is the angle between them.

In this case, we have $S = 20$, $a = 8$, $b = NK$, and $\alpha = 150^\circ$. Substituting these values into the formula, we get:

$$20 = \frac{1}{2} \cdot 8 \cdot NK \cdot \sin 150^\circ$$

Solving for NK, we get:

$$NK = \frac{20}{4 \cdot \frac{1}{2}} = 10$$

Therefore, the length of NK is 10 cm.

You can also check the online calculator to verify your answer or use different data. I hope this helps.