Question

Given any triangle ABC labeled as shown, the law of sines states that:

Answer 1

Option A is correct that is the ratio of the sine of an angle to the length of the opposite side is the same for all part of the triangle.

Explanation:

Given:

Three angles of the triangles = ∠A , ∠B and ∠C

Three Sides of the triangle = a , b , c

We need to find statement which states the Law of Sines.

We know that Law of Sines is given by,

`(a)/(sin\,A)=(b)/(sin\,B)=(c)/(sin\,C)`

or

`(sin\,A)/(a)=(sin\,B)/(b)=(sin\,C)/(c)`

Therefore, Option A is correct that is the ratio of the sine of an angle to the length of the opposite side is the same for all part of the triangle.

Answer 2

A. The ratios of the sine of the angle to the opposite side are the same.

Explanation:

The law of sines is ...

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