If you mean another side of 6cm then in trigonometry terms this is known as an' ambiguous case' and by using the appropriate rules appertaining to trigonometry its other angles are 38.2 degrees and 110.8 degrees with a 3rd side of 9.07cm containing an area of 14.0 square cm or else its other angles are 141.8 degrees and 7.2 degrees with a 3rd side of 1.21cm containing an area of 1.88 square cm.
A right triangle with a hypotenuse of 12cm and an angle 30 degrees has an opposite angle of: 60 degrees.
A scalene triangle
yes try it
If you mean an angle of 60 degrees opposite a side of 8 cm and has another side called b which is 9 cm then label the angles as A B C and the opposite sides a b c. This is an ambiguous scenario in which 60 degrees is not the 'included angle' but by manipulating the trigonometrical sine rule the angles are 60 degrees, 103 degrees and 17 degrees or 60 degrees, 77 degrees and 43 degrees.
Yes, it is possible to construct a triangle with an angle of 60 degrees and two sides of 4cm. This type of triangle is known as a 30-60-90 triangle, where the sides are in the ratio 1:√3:2. In this case, the side opposite the 60-degree angle would be 4cm, the side opposite the 30-degree angle would be 2cm, and the hypotenuse would be 4√3 cm.
A right triangle with a hypotenuse of 12cm and an angle 30 degrees has an opposite angle of: 60 degrees.
Using the ambiguous case formula in trigonometry its other angles are 63.18 degrees and 66.82 degrees with a 3rd side of 29.13cm or its other angles are 16.82 degrees and 113.18 degrees with a 3rd side of 9.44cm
A scalene triangle
The hypotenuse of a right angle triangle is opposite to its right angle of 90 degrees.
No, it is not possible to have a triangle with an angle of 181 degrees. The sum of the interior angles of a triangle is always 180 degrees according to Euclidean geometry. Any triangle with an angle greater than 180 degrees would not be a valid geometric shape.
It is not possible for any triangle to have two interior90-degree angles.
It is possible if neither of the angles in the triangle measures to 60 degrees
This is an ambiguous scenario where two answers are possible and by using trigonometry they are 28.93 degrees and 126.07 degrees with a 3rd side of 58.15cm or 151.07 degrees and 3.93 degrees with a 3rd side of 4.93cm
yes try it
Using the trigonometry sine rule the other sides of the triangle are 16.35cm and 13.62cm so it follows that its perimeter is 14.5+16.35+13.62 = 44.47cm
A triangle's angles always total 180 degrees
If you mean an angle of 60 degrees opposite a side of 8 cm and has another side called b which is 9 cm then label the angles as A B C and the opposite sides a b c. This is an ambiguous scenario in which 60 degrees is not the 'included angle' but by manipulating the trigonometrical sine rule the angles are 60 degrees, 103 degrees and 17 degrees or 60 degrees, 77 degrees and 43 degrees.