Question

question 6 of 10
the law of sines can only be applied to nonright triangles.
a. true
b. false

Explanation:

The Law of Sines states that for any triangle (right or non - right), $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$, where $a$, $b$, $c$ are the sides of the triangle and $A$, $B$, $C$ are the opposite angles respectively. In a right - triangle, we can also apply the Law of Sines. For example, in a right - triangle with right angle $C = 90^{\circ}$, $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin90^{\circ}}=\frac{c}{1}=c$, which is valid. So the statement that the Law of Sines can only be applied to non - right triangles is false.

Answer:

B. False