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In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. If the shorter leg (opposite the 30-degree angle) is 12, then the longer leg (opposite the 60-degree angle) is (12\sqrt{3}), which is approximately 20.78. The hypotenuse, opposite the 90-degree angle, is twice the length of the shorter leg, so it is 24.
Certainly. In fact, if the legs of the right triangle are not equal, then that descriptionmust be true for one of its acute angles.
Let the sides be a & b. a2 + b2 = The square of the hypotenuse a/b = tangent of the angle opposite a b/a = tangent of the angle opposite b ab/2 = the area of a right angled triangle.
In a right triangle, the two shorter sides are called legs.
A segment of a triangle that connects a vertex to the midpoint of the opposite side is called a median. Each triangle has three medians, one from each vertex, and they all intersect at a point known as the centroid. The centroid is the point where the triangle's mass is balanced, and it divides each median into two segments, with the longer segment being from the vertex to the centroid and the shorter segment from the centroid to the midpoint of the opposite side.
They are just "sides." They usually do not have given names, unless you have a right triangle, in which the two shorter sides are called legs and the longest side (side opposite the right angle) is called the hypotenuse.
In triangle cases, one solution occurs in the "SSA" (Side-Side-Angle) scenario when the given side opposite the angle is longer than the other given side. Two solutions arise in the same SSA case when the angle is acute and the opposite side is shorter than the other given side, allowing for two possible triangles. Zero solutions occur in SSA when the side opposite the angle is shorter than the height from the other given side, making it impossible to form a triangle.
In a right triangle, the two shorter sides are known as the legs. These sides are perpendicular to each other and form the right angle. The longest side, opposite the right angle, is called the hypotenuse. The lengths of the legs can be used in the Pythagorean theorem to find the length of the hypotenuse or vice versa.
If one side of a triangle is longer than the second side, then the measure of the angle opposite the longer side is greater than the measure of the angle opposite the shorter side. I hope it will help in your study.. AJ
Because you need information about all three parts of the triangle, either the side or the angle opposite it, for each of the sides of a triangle. In AA you are missing the third angle, you could have a triangle where both angles were the same but the height could be different giving you a taller or shorter triangle. In SSA, the angle would be the one opposite the first side, so you have no information about the third side
The legs.
The short sides of a right triangle are the legs.