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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.
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
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.
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.
How do you find the sides of a 30 60 and 90 degree triangle?
you cannot determine the sides of a triangle by the angle measures alone because any triangle with different side lengths can have these angle measurements. However if you do know the length of any one of the sides, you can calculate the lengths of the other two sides.The shortest side is the one opposite the 30 degree angle.The hypotenuse (opposite the 90 degree angle) is always twice the length of the shortest side opposite the 30 degree angle.The side opposite the 60 degree angle is always the length of the side opposite the 30 degree angle times the square root of three (about 1.73205).
What are the lengths of the longer leg and the hypotenuse if the shorter leg is 10 on a 30-60-90 triangle?
The short side will be opposite the 30 degree angle. The longer leg is 10*sqrt(3) = 17.32 and the hypotenuse is 20.
What side lengths do the area models of 45 and 60 have in common?
1, 3, 5 and 15.
What is the area of the triangle with side lengths 50.50 and 60?
A triangle with sides of 50, 50 and 60 units has an area of 1200 sq units.
What is the length of the side opposite the 60 angle if the hypotenuse is 17?
The length of the side opposite the 60° angle is about 14.72(sin 60°) = 0.866The length of the side opposite the 30° angle is 8.5(sin 30°) = 0.5
