The sum of tthe angles of a triangle is 180° which means the third angle is 180° - (57° + 71°) = 52°
The sine rule gives:
a/sin A = b/sin B = c / sin C
where side a is opposites angle A, etc.
The sine rule can be used to find the lengths of the other two sides when the angles are all known and one side length is known.
Let angle A = 57°, then side a = 14.5 in.
Let angle B = 71° and angle C = 52°
Using the sine rule:
a/sin A = b/ sin B
→ b = a × sin B/sin A
Similarly, c = a × sin C/sin A
→ The perimeter = a + b + c
= a + a × sin B/sin A + a × sin C/sin A
= a(1 + sin B/sin A + sin C/sin A)
= 14.5 in × (1 + sin 71° / sin 57° + sin 52° / sin 57°)
≈ 44.47 in
≈ 44.5 in
It is 44.47 inches.
Using the sine rule in trigonometry its other sides are 13.62cm and 16.35cm both rounded to two decimal places therefore it follows that the perimeter of the triangle is 14.5cm+13.62xm+16.35cm = 44.47cm
Using the sine rule in trigonometry its area is 192.885 square cm and its perimeter is 65.379 cm both rounded to three decimal places.
Its 3rd angle is 52 degrees which is its smallest angle and opposite to its smallest side and by using the sine rule the perimeter of the triangle works out as 44.45 mm to two decimal places
Its longest side of 162cm is opposite to its biggest angle which is 94.54 degrees and by using the sine rule its other sides are 98.34cm and 121.49cm. Therefore perimeter of the triangle is: 162+98.34+121.49 = 381.83cm
The largest angle then will be 94.35 degrees opposite the longest sides of 162cm and by using the sine rule of 120/sin(94.35) = b/sinB = c/sinC the perimeter of the triangle works out as 381.83cm rounded to two decimal places.
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
Using the sine rule in trigonometry its other sides are 13.62cm and 16.35cm both rounded to two decimal places therefore it follows that the perimeter of the triangle is 14.5cm+13.62xm+16.35cm = 44.47cm
Using the sine rule in trigonometry its area is 192.885 square cm and its perimeter is 65.379 cm both rounded to three decimal places.
Its 3rd angle is 52 degrees which is its smallest angle and opposite to its smallest side and by using the sine rule the perimeter of the triangle works out as 44.45 mm to two decimal places
The 3rd angle must be 52 degrees and so by using the sine rule in trigonometry its other sides are 16.35cm and 13.62cm both rounded to two decimal places. Therefore the perimeter of the triangle is: 14.5+16.35+13.62 = 44.47cm
180 degrees
Its longest side of 162cm is opposite to its biggest angle which is 94.54 degrees and by using the sine rule its other sides are 98.34cm and 121.49cm. Therefore perimeter of the triangle is: 162+98.34+121.49 = 381.83cm
The largest angle then will be 94.35 degrees opposite the longest sides of 162cm and by using the sine rule of 120/sin(94.35) = b/sinB = c/sinC the perimeter of the triangle works out as 381.83cm rounded to two decimal places.
== == The corresponding angle is 60 degrees.
Using the sine rule in trigonometry of 14.5/sin(57) = b/sin(71) = c/sin(52) the perimeter of the triangle works out as 44.47 cm to two decimal places.
A right triangle with a hypotenuse of 12cm and an angle 30 degrees has an opposite angle of: 60 degrees.
Using the sine rule in trigonometry the perimeter of the triangle works out as 382cm rounded to the nearest integer