Final answer:
To prove that sin(B)/b = sin(C)/c in triangle ABC with altitude h, we can use the law of sines. The law of sines states that the ratio of the length of a side to the sine of its opposite angle is the same for all three sides.
Step-by-step explanation:
To prove that sin(B)/b = sin(C)/c in triangle ABC with altitude h, we can use the law of sines. The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides.
Therefore, we have:
sin(B)/b = sin(C)/c
which means that the ratio of sine of angle B to the length of side b is equal to the ratio of sine of angle C to the length of side c.