In geometry the given information in the question is known as an 'ambiguous case' that has two possible solutions when using the rules of trigonometry which are that the other two angles are 35 degrees and 115.55 degrees with a 3rd side of 143.14cm or that the other two angles are 145 degrees and 5.55 degrees with a 3rd side of 15.35cm.
The two angles and third side are either 35.00, 115.55 degrees and 143 cm or 145.00, 5.55 degrees and 15 cm.
A right triangle with a hypotenuse of 12cm and an angle 30 degrees has an opposite angle of: 60 degrees.
A scalene triangle
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.
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.
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A right triangle with a hypotenuse of 12cm and an angle 30 degrees has an opposite angle of: 60 degrees.
No, it's not. A triangle is always 180 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.
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.
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
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.
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
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