Answer
The ratio of the side opposite to the acute angle to the hypotenuse of the right triangle is called the sine of an acute angle of a right triangle.
Work Step by Step
The longest side of the right triangle is known as hypotenuse. There is an acute angle and a right angle in right angle triangle. The two legs of the triangle are related to an acute angle. One leg is known as side opposite to the acute angle and other leg is side next to the acute angle.
The measure of an acute angle of a right triangle is .It is required to determine why the sine ratio does not increase as the size of triangle increases.The ratio of the side opposite to the acute angle to the hypotenuse of the right triangle is called the sine of an acute angle of a right triangle.
As the size of triangle increases, the sine ratio remains the same, because the sine ratio is defined as the ratio of the lengths of the triangle, and since the angle is fixed at , the triangle will remain similar and thus the ratio of side lengths remains the same.
Hence, the sine ratio remains the same, if the size of triangle increases.
