Solve the Triangle tri(5)()(13)()(12)(90 degrees )

Math
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
Substitute the known values into the law of sines to find .
Solve the equation for .
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The exact value of is .
Multiply both sides of the equation by .
Simplify both sides of the equation.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Combine and .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Evaluate .
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Subtract from .
The solution to the equation .
Exclude the solutions that do not make true.
No solution
No solution
There are not enough parameters given to solve the triangle.
Unknown triangle
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
Substitute the known values into the law of sines to find .
Solve the equation for .
Tap for more steps…
The exact value of is .
Multiply both sides of the equation by .
Simplify both sides of the equation.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Combine and .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Evaluate .
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Subtract from .
The solution to the equation .
Exclude the solutions that do not make true.
No solution
No solution
There are not enough parameters given to solve the triangle.
Unknown triangle
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
Substitute the known values into the law of sines to find .
Solve the equation for .
Tap for more steps…
The exact value of is .
Multiply both sides of the equation by .
Simplify both sides of the equation.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Combine and .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Evaluate .
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Subtract from .
The solution to the equation .
Exclude the solutions that do not make true.
No solution
No solution
There are not enough parameters given to solve the triangle.
Unknown triangle
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
Substitute the known values into the law of sines to find .
Solve the equation for .
Tap for more steps…
The exact value of is .
Multiply both sides of the equation by .
Simplify both sides of the equation.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Combine and .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Evaluate .
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Subtract from .
The solution to the equation .
Exclude the solutions that do not make true.
No solution
No solution
There are not enough parameters given to solve the triangle.
Unknown triangle
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
Substitute the known values into the law of sines to find .
Solve the equation for .
Tap for more steps…
The exact value of is .
Multiply both sides of the equation by .
Simplify both sides of the equation.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Combine and .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Evaluate .
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Subtract from .
The solution to the equation .
Exclude the solutions that do not make true.
No solution
No solution
There are not enough parameters given to solve the triangle.
Unknown triangle
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
Substitute the known values into the law of sines to find .
Solve the equation for .
Tap for more steps…
The exact value of is .
Multiply both sides of the equation by .
Simplify both sides of the equation.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Combine and .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Evaluate .
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Subtract from .
The solution to the equation .
Exclude the solutions that do not make true.
No solution
No solution
There are not enough parameters given to solve the triangle.
Unknown triangle
Solve the Triangle tri(5)()(13)()(12)(90 degrees )

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