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If you know the lengths of two sides, a and b, and the included angle, C, then

area = 0.5*a*b*sin(C)

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Q: How do you find the area of a triangle using sine?
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Related questions

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.


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 sine?

In a right angle triangle divide the opposite by the hypotenuse to find the sine ratio.


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 leg of a triangle with no right angles?

By using the Sine rule: a/sinA = b/sinB = c/sinC


How do you use sine cosine and tangent?

They are used to find the angle or side measurement of a right triangle. For example, if 2 sides of a right triangle have known values and an angle has a known measurement, you can find the third side by using sine, cosine or tangent.


How do you determine sine in a right triangle?

The sine of an angle in a right triangle is opposite/hypotenuse, where opposite is the only side that is not adjacent to the angle you want to find the sine of, and the hypotenuse is the side opposite the right angle in the triangle. Just find opposite/hypotenuse.


What ratio do you use to find the sine of an angle in a right triangle?

Sine ratio = opposite/hypotenuse


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.


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.


Where to use sine and cosine in physics?

The sine, cosine and tangent are used to find the degrees of a right angle triangle.