Using the cosine and sine rules the area of the triangle works out as 457 square cm rounded.
If you know the lengths of two sides, a and b, and the included angle, C, then area = 0.5*a*b*sin(C)
The answer depends on what other information you have about the triangle.
Using the cosine rule angles of the triangle are: 119.10 degrees, 31.99 degrees and 28.91 degrees all rounded to two decimal places. Using sine area formula its area is: 3.24 square cm rounded to two decimal places.
Using the cosine and sine rules in trigonometry the angles are 51.05 degrees, 85.11 degrees and 43.84 degrees with an area of 18.17 square cm.
Using the cosine and sine rules the area of the triangle works out as 457 square cm rounded.
Using the cosine formula the angle between lengths 8 and 12 is 55.77113367 degrees. Using the sine formula the area of the triangle is 39.68626966 or about 40 square units.
If you know the lengths of two sides, a and b, and the included angle, C, then area = 0.5*a*b*sin(C)
An angle can have a sine ratio, not a triangle.
The answer depends on what other information you have about the triangle.
Using the cosine rule angles of the triangle are: 119.10 degrees, 31.99 degrees and 28.91 degrees all rounded to two decimal places. Using sine area formula its area is: 3.24 square cm rounded to two decimal places.
Using the cosine and sine rules in trigonometry the angles are 51.05 degrees, 85.11 degrees and 43.84 degrees with an area of 18.17 square cm.
when trying to find the angle of a right triangle using only the opposite leg and the hypotenuse, eg. angle =sin opp leg over hyp * * * * * Also to find the area of a triangle if two sides and the included angle are known. Or the area of a sector of a circle.
By using the sine rules in trigonometry the longest side of the triangle works out as 5.93cm with an area of 7.98 square cm
The sine of an angle theta that is part of a right triangle, not the right angle, is the opposite side divided by the hypotenuse. As a result, you could determine the hypotenuse by dividing the opposite side by the sine (theta)...sine (theta) = opposite/hypotenusehypotenuse = opposite/sine (theta)...Except that this won't work when sine (theta) is zero, which it is when theta is a multiple of pi. In this case, of course, the right triangle degrades to a straight line, and the hypotenuse, so to speak, is the same as the adjacent side.
Using the sine rule in trigonometry the perimeter of the triangle is 381.83 cm and its area is 5956.67 square cm both rounded to two decimal places
The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.