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Which set of values could be the side lengths of 30-60-90 triangle?
In a 30-60-90 triangle, the lengths of the sides follow a specific ratio: the side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the shorter side. For example, if the hypotenuse is 2, the side lengths could be 1 (opposite the 30-degree angle) and ( \sqrt{3} ) (opposite the 60-degree angle). Therefore, a valid set of side lengths could be 1, ( \sqrt{3} ), and 2.
Which set of values could be the side leghts of a 30- 60 -90 triangle?
In a 30-60-90 triangle, the side lengths are in a specific ratio: the length of the side opposite the 30-degree angle is (x), the side opposite the 60-degree angle is (x\sqrt{3}), and the hypotenuse is (2x). For example, if the side opposite the 30-degree angle is 1, the side lengths would be 1, (\sqrt{3}), and 2. Another valid set could be 2, (2\sqrt{3}), and 4.
What is the true about the lengths of the sides of any 30 - 60- 90 right triangle?
The side opposite the 30° angle is shortest, the side opposite the 60° angle is in the middle (length wíse) and the hypotenuse is the longest. The shortest side is half the length of the hypotenuse.
What is the 30 to 60 right triangle theorem?
The ratio of the lengths of the hypotenuse to the shortest side is 2, and the ratio of the lengths of the two sides adjacent to the right angle is the square root of 3.
What are the true statements about a 30-60-90 triangle?
In a 30-60-90 triangle, the sides are in a consistent ratio: the length of the side opposite the 30-degree angle is half the length of the hypotenuse, while the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the side opposite the 30-degree angle. This means if the shortest side is ( x ), the hypotenuse is ( 2x ) and the longer leg is ( x\sqrt{3} ). The angles in a 30-60-90 triangle always measure 30 degrees, 60 degrees, and 90 degrees. This specific ratio allows for easy calculation of side lengths when one side is known.
Which set of values could be the side lengths of 30-60-90 triangle?
In a 30-60-90 triangle, the lengths of the sides follow a specific ratio: the side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the shorter side. For example, if the hypotenuse is 2, the side lengths could be 1 (opposite the 30-degree angle) and ( \sqrt{3} ) (opposite the 60-degree angle). Therefore, a valid set of side lengths could be 1, ( \sqrt{3} ), and 2.
What is the true about the lengths of the sides of any 30 60 90 right triangle?
side across from 30: 1/2 the hypontenuse side across from 60: the length of the side across from 30, times the square root of 3 side across from 90: the hypotenuse
Which set of values could be the side leghts of a 30- 60 -90 triangle?
In a 30-60-90 triangle, the side lengths are in a specific ratio: the length of the side opposite the 30-degree angle is (x), the side opposite the 60-degree angle is (x\sqrt{3}), and the hypotenuse is (2x). For example, if the side opposite the 30-degree angle is 1, the side lengths would be 1, (\sqrt{3}), and 2. Another valid set could be 2, (2\sqrt{3}), and 4.
What is the true about the lengths of the sides of any 30 - 60- 90 right triangle?
The side opposite the 30° angle is shortest, the side opposite the 60° angle is in the middle (length wíse) and the hypotenuse is the longest. The shortest side is half the length of the hypotenuse.
What is the 30 to 60 right triangle theorem?
The ratio of the lengths of the hypotenuse to the shortest side is 2, and the ratio of the lengths of the two sides adjacent to the right angle is the square root of 3.
How many distinct equilateral triangles with a perimeter of 60 units have integer side lengths?
There is only one equilateral triangle with a perimeter of 60 units. Its side lengths are integers.
What are the true statements about a 30-60-90 triangle?
In a 30-60-90 triangle, the sides are in a consistent ratio: the length of the side opposite the 30-degree angle is half the length of the hypotenuse, while the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the side opposite the 30-degree angle. This means if the shortest side is ( x ), the hypotenuse is ( 2x ) and the longer leg is ( x\sqrt{3} ). The angles in a 30-60-90 triangle always measure 30 degrees, 60 degrees, and 90 degrees. This specific ratio allows for easy calculation of side lengths when one side is known.
What is the tan 60 degrees?
The tangent of 60 degrees is equal to the square root of 3, or approximately 1.732. This value can be derived from the properties of a 30-60-90 triangle, where the ratio of the lengths of the sides opposite the angles gives the tangent. Specifically, in a 30-60-90 triangle, the side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle.
Are 30 60 90 pythagorean triples?
If you mean triangles with angles of 30 60 and 90, then not necessarily These are the angles, and they do not give you the absolute side lengths. If you mean a triangle with the sides of 30, 60, and 90, that triangle can't exist, since the largest side length of a triangle cannot be equal to or greater than the sum of the other two sides.
Which set of values could be the side lengths of a 30-60-90 triangle?
3, 4 and 5 units of length
What is the side length of a square with an area of 60 square meters?
The side lengths of a square with an area of 60 square meters is: 7.746 meters.
What are the dimensions of a 30-60-90 triangle?
A 30-60-90 triangle has side lengths in a specific ratio: the shortest side (opposite the 30-degree angle) is half the length of the hypotenuse, the longest side (the hypotenuse) is twice the length of the shortest side, and the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the shortest side. If the shortest side is ( x ), then the hypotenuse is ( 2x ) and the longer leg is ( x\sqrt{3} ). For example, if the shortest side is 1, the hypotenuse would be 2, and the longer leg would be ( \sqrt{3} ).
