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What is the area of a triangle having sides of 22 cm by 62 cm by 48 cm?
Using the cosine and sine rules the area of the triangle works out as 457 square cm rounded.
How do you find the area of a triangle using sine?
If you know the lengths of two sides, a and b, and the included angle, C, then area = 0.5*a*b*sin(C)
How do you calculate the length of a right angled triangle using the sine formulae?
The answer depends on what other information you have about the triangle.
What are the angles and area of a triangle with sides of 2.6cm by 2.85cm by 4.7cm?
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.
What are the angles and area of a triangle with sides of 6.4cm by 8.2cm by 5.7cm?
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.
What is the area of a triangle having sides of 22 cm by 62 cm by 48 cm?
Using the cosine and sine rules the area of the triangle works out as 457 square cm rounded.
What is the area of a triangle when the sides are 10 by 8 by 12?
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.
How do you find the area of a triangle using sine?
If you know the lengths of two sides, a and b, and the included angle, C, then area = 0.5*a*b*sin(C)
How do you figure out the sine of a triangle?
An angle can have a sine ratio, not a triangle.
How do you calculate the length of a right angled triangle using the sine formulae?
The answer depends on what other information you have about the triangle.
What are the angles and area of a triangle with sides of 2.6cm by 2.85cm by 4.7cm?
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.
What are the angles and area of a triangle with sides of 6.4cm by 8.2cm by 5.7cm?
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.
Why is sine used?
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.
How do you solve the angle of a triangle by using the sine rule?
To solve for an angle of a triangle using the sine rule, you first need to know at least one side length and the angles opposite to that side, or two sides and a non-included angle. The sine rule states that the ratio of a side length to the sine of its opposite angle is constant for all three sides and angles of the triangle. You can rearrange the formula ( \frac{a}{\sin(A)} = \frac{b}{\sin(B)} ) to find the sine of the unknown angle, and then use the inverse sine function to calculate the angle itself. This method is particularly useful in non-right triangles.
What is the longest side and area of a triangle given that its shortest side is 3.6cm with angles of 48.4 degrees and 37.25 degrees?
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
How do you find the hypotenuse of a right triangle using sine?
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.
How do you use sine in math?
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.
