The Side opposite to a 30 degree angle is 5/3 inch long while the Side opposite to a 90 degree angle is twice as long. In addition, the Line segment AS is half the length of the TS and congruent to it. These characteristics are known as the Angle Bisector. Moreover, the 30 degree angle can be easily compared to any other angle by using this method.
Side opposite the 30 degree angle is 5 / 3 inch long
The length of the side opposite the thirty degree angle is 5 / 3 inch. Similarly, the side opposite the 60 degree angle is three times as long as the side opposite the 90 degree angle. This relationship between sides is illustrated in the triangle below. The longest side is the side opposite the largest angle, while the shortest side is the side opposite the smallest angle.
The hypotenuse length is half the length of the side opposite the 30 degree angle. Therefore, the hypotenuse length is 12/sin(30) = 24. This length bisects the angle and chord. As we see, the hypotenuse length equals two times the length of the smallest leg.
Line segment AS is half the length of TS
The angle formed by three lines of equal length is called the right angle. A line segment of equal length has a right angle when the angle between its two segments is exactly 60 degrees. Thus, line segment AS is half the length of TS at 30 degree angle.
Line segments always have two endpoints. Those with only one endpoint are half-open segments. Usually, these endpoints are separated by a bar. The length of a line segment is expressed in both conventional and metric units. A basic knowledge of line and angle terminology will help you make sense of the terminology.
Line segment AS is congruent with TS
When line segment AS is congruent with line segment TS at 30 degree angle, the resulting angle is sixty degrees. In other words, line segment AS is half the length of line segment TS. However, this does not mean that line segment AS is equidistant with line segment TS at 30 degree angle.
PT is half the length of TR
The lines PT and TR are congruent and form a quadrilateral with four congruent sides. Line segment AS is half the length of TS. The angle APS is a right angle and the measure of the angle is 30 degrees. RS, PS, and TS are congruent as well.
The PT is half the length of the TR at 30 degrees. This statement comes from the Simmons’ Precalculus text. When the PT is half the length of the hypotenuse, the triangle is equilateral. If both sides are equal lengths, the altitude bisects the vertex angle. Make sure to draw the base and hypotenuse on your sketch.
RS is half the length of TS
A right angle (right angle) is formed when two congruent line segments intersect at the same point. For example, the angle PAS formed by a circle and a line segment RS intersects at a point T. A right angle is a right triangle with a measure of 30 degrees.
TS is congruent with RS
The sides of a triangle are congruent if the angle between the two segments is 30 degrees. The sides of the triangle A B C and T R S are congruent. Likewise, the segments PT and TS are congruent if the angles are 30 degrees.