Question

complete the statements to explain why the value of the sine ratio for an acute angle of a right triangle must always be a positive value less than 1. in a right triangle, sine is the ratio of the length of the leg opposite an angle to the length of the hypotenuse. since the hypotenuse is the side opposite the largest angle, it must be the longest side. thus, the ratio will have a denominator equal to the numerator, denominator that is less than the numerator, denominator that is larger than the numerator, and the ratio will be less than 1.

Explanation:

In a right - triangle, sine of an acute angle is the ratio of the length of the opposite leg to the hypotenuse. The hypotenuse is the longest side. For a ratio $\frac{a}{b}$ where $b$ (hypotenuse) is greater than $a$ (opposite leg), the value of the ratio is less than 1.

Answer:

denominator that is larger than the numerator