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How do you find the length of a triangle sides using perimeter and angles?
The solution relies on using the sine rule.Suppose that the perimeter of triangle ABC is P.Then you need to divide P into 3 parts in the ratio of sin(A) : sin(B) : sin(C).Let sin(A) + sin(B) + sin(C) = X. ThenAB = P*sin(C)/XBC = P*sin(A)/XCA = P*sin(B)/X
What are the lengths of the missing sides of a 30-60-90 triangle if the longer leg of the triangle is 18 centimeter?
The longest side of the triangle will always be opposite the largest angle, which is 90° in this case. We can use the sine law to work out the other sides with that: sin(90°) / 18 = sin(60°) / x = sin(30°) / y 1/18 = sin(60°) / x x = 18 sin(60°) x = 18√3 / 2 x = 9√3 1/18 = sin(30°) / y y = 18 sin(30°) y = 9 So the triangle has a sides of 9 and 9√3, with a hypotenuse of 18
What is the relationship between the cos and sin of the non 90 degree angles in a right angle triangle?
sin θ = cos (90° - θ) cos θ = sin (90° - θ)
What is the perimeter of an equilateral triangle with an altitude of 15?
An equilateral triangle has 3 equal interior angles each of 60 degrees. There are two right angled triangles in an equilateral triangle. So we can use trigonometry to find the length of one side of the equilateral triangle then multiply this by 3 to find its perimeter. Hypotenuse (which is one side of the equilateral) = 15/sin 60 degrees = 17.32050808 17.32050808 x 3 = 51.96152423 Perimeter = 51.96152423 units.
If the side opposite angle A of a right triangle is 30 meters and the hypotenuse is 90 meters what is the sin of angle a?
sin of angle a = opposite/hypotenuse = 1/3 sin-1(1/3) = 19.47122063 degrees
How do you find the sin in a right triangle?
Sin is the opposite over the hypotenuse.
How do you find the sine of an angle in a right triangle?
Sin is sin-1(opposite/hypotonose)
How would you find out the sin tan and cos of right angle triangle?
sin, tan and cos can be defined as functions of an angle. But they are not functions of a triangle - whether it is a right angled triangle or not.
How do you find the area of each face on an equilateral triangle?
Area of an equlateral triangle = 0.5*side2*sin(60)
How do you find the height of a triangle without given area?
Answer the answer is Herons formula:Area=sqrt(sin(sin-a)+(sin-b)+(sin-c) where a ,b, c are the measurement of the sides.just input the measurement of the sides in the formula and you will have your answer.here you can calculate the area of a triangle with out height.
How do you find the length of a triangle sides using perimeter and angles?
The solution relies on using the sine rule.Suppose that the perimeter of triangle ABC is P.Then you need to divide P into 3 parts in the ratio of sin(A) : sin(B) : sin(C).Let sin(A) + sin(B) + sin(C) = X. ThenAB = P*sin(C)/XBC = P*sin(A)/XCA = P*sin(B)/X
What is midpointHow do you find the length of the third side of an scalene triangle?
If you have angles, use the sine rule: a/sin A = b/sin B = c/sin C a denotes the side, A the angle opposite the side.
Can an equiangular triangle be scalene?
No. An equiangular triangle is always equilateral. This can be proven by the Law of Sines, which states that sin A / a = sin B / b = sin C / c, where A, B and C are angles of a triangle and a, b and c are the opposing sides of their corresponding angles. If A = B = C, then sin A = sin B = sin C. Therefore for the equation to work out, a = b = c. Therefore the eqiangular triangle is equilateral, and therefore not scalene, which requires that all sides of the triangle be of different lengths.
How do you find the side length of a right triangle if you have one side length and two angles?
You can use trigonometry: sin α = opposite/hypotenuse, cos α = adjacent/hypotenuse, tan α = sin α/ cos α and using the law of sines:a/sin a = b/sin b = c/sin c. From all these you can derive equations to help you solve your task. Also if you have two angles and a triangle you actually have three angles α + β + γ = 180 in a triangle
Find the area of an equilateral triangle that has a perimeter of 21 inches. round the answer to one decimal?
Area of equilateral triangle: 0.5*7*7*sin(60 degrees) = 21.2 square inches
How do you find the area of an equalateral triangle?
Do you mean an equilateral triangle? Then if so then the formula for the area of any triangle: 0.5*a*b*sinC whereas a and b are the embraced sides of angle C And in the case of an equilateral triangle it is: 0.5*any side squared*sin(60 degrees) Alternatively use Pythagoras' theorem to find the altitude of the triangle then use: 0.5*base*height = area
How do you find sin of angle?
The sine of an angle is obtained from a right angle triangle. The other two angles are acute, or less than 90 degrees. The sin of the angle is the side opposite the angle divided by the hypotenuse.
