Question

В треугольнике ABC угол C равен 90 градусов, sin A = 1/7, AC = 8√3. Найти AB

Answer 1

sinA=BC/AB⇒BC=AB sinA = x/7
и по теореме пифагора

Answer 2

Task: Find AB in triangle ABC

To find the length of AB in triangle ABC, we can use the Pythagorean theorem and the given information about angle C, sin A, and AC.

Let's break down the problem step by step:

1. We are given that angle C is equal to 90 degrees, which means triangle ABC is a right triangle.

2. We are also given that sin A is equal to 1/7. Since sin A is the ratio of the length of the side opposite angle A to the hypotenuse, we can write sin A = AB/AC.

3. We are given that AC is equal to 8√3.

Now, let's solve for AB:

Using the equation sin A = AB/AC, we can substitute the given values:

1/7 = AB/(8√3)

To isolate AB, we can cross-multiply:

AB = (1/7) * (8√3)

Simplifying further:

AB = (8√3)/7

Therefore, the length of AB in triangle ABC is (8√3)/7.

Please let me know if I can help you with anything else.