(1/2) x (length of the hypotenuse) x sqrt(3)
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
3root3
The length of the side opposite the 60° angle is: 12.99 units.The long leg is (sin60°)h = 0.866 h = 12.99
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.
we know by tringometry , sin x = opp side /hypotenuse . sin 60 = opp side /17. sqrt (3)/2 =oppside /17 . opposite side = 1.732 X17 /2 =14.7 m.
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
3root3
The length of the side opposite the 60° angle is: 12.99 units.The long leg is (sin60°)h = 0.866 h = 12.99
12.99
If the hypotenuse of a 30-60-90 triangle has a length of 19, the length of the side opposite the 60 degree angle is: 16.45. (the other leg would be 9.5)sine 60 degrees = opposite/hypotenuseOpposite = 19*sine 60 degreesOpposite = 16.45448267 or 16.45 units to two decimal places
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.
6.5 sqrt(3) = about 11.2583 (rounded)
we know by tringometry , sin x = opp side /hypotenuse . sin 60 = opp side /17. sqrt (3)/2 =oppside /17 . opposite side = 1.732 X17 /2 =14.7 m.
Let side opposite the 60 degree angle be "N" Then N/17 = sin 60 degrees or N = 17 x sin 60 = (17/2) x Root of 3 = 8.5 x 1.732 = 14.722
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.
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.
In a 30-60-90 triangle, the sides are in a specific ratio: the length of the side opposite the 30-degree angle (let's call it ( s )) is half the length of the hypotenuse, while the side opposite the 60-degree angle (let's call it ( q )) is ( s \sqrt{3} ). If ( s ) has a given length, then the hypotenuse will be ( 2s ), and the length of ( q ) can be calculated as ( q = s \sqrt{3} ). Therefore, knowing the length of ( s ) allows you to find both the hypotenuse and the length of ( q ).