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Is this statement true or falseIn a 30°-60°-90° triangle, the leg opposite the 60° angle is the shorter leg?
false
What else can I help you with?
What is the length of the longer leg and hypotenuse of a 30-60-90 triangle with the shorter leg of length 12?
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.
In a right triangle can the side opposite an acute angle be shorter than the side adjacent to the angle?
Certainly. In fact, if the legs of the right triangle are not equal, then that descriptionmust be true for one of its acute angles.
What is the relation between the length of the two shorter sides of a right triangle?
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.
The two shorter sides in a right triangle?
In a right triangle, the two shorter sides are called legs.
What is a segment of a triangle with endpoint that is a vertex and the midpoint of the opposite side?
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.
What are the three side of triangle?
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.
What could be a ratio between lengths of two legs of a 30-60-90 triangle?
In a 30-60-90 triangle, the ratio of the lengths of the two legs is 1:√3. Specifically, the leg opposite the 30-degree angle (shorter leg) is half the length of the hypotenuse, while the leg opposite the 60-degree angle (longer leg) is √3 times the length of the shorter leg. Thus, if the shorter leg is ( x ), the longer leg will be ( x\sqrt{3} ).
What triangle cases may have one two or zero solutions?
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.
What is the two shorter side of a right 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.
What is a side-angle inequality?
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
Why AA and SSA are no valid methods to prove triangles congruent?
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
What are the two shorter sides of a triangle called?
The legs.
