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If you have all sides of a triangle how do you use the law of cosines to solve the angles?
Label the angles of the triangle A, B, and C. Label the side opposite angle A side a, the one opposite angle B side b, and the one opposite angle C side c.
Let's say you want to solve for angle A, you use the law of cosines:
a^2=b^2+c^2-2bcCosA
CosA is the "variable" in this equation, so isolate this. When you have that, you'll have some number (let's call it D) equal to CosA:
D=CosA
Use the inverse Cos function to find the measure of the angle:
Cos^-1(D)=A
And you have the measure of angle A.
From here you can either use the law of cosines again to find a second angle and then the third, though the easier route is usually to just use the law of sines for find the second angle and then the fact that all three angles add to 180 to find the third.
What else can I help you with?
How do you find the hypotenuse of a non right triangle?
To find the hypotenuse of a non-right triangle, you can use the Law of Cosines. This theorem states that the square of the length of one side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of those sides and the cosine of the angle between them. By rearranging the formula and plugging in the known side lengths and angles, you can solve for the length of the hypotenuse.
How are sines and cosines used in meteorology?
In trigonometry sines and cosines are used to solve a mathematical problem. And sines and cosines are also used in meteorology in estimating the height of the clouds.
How do you solve perimeter of a triangle?
You find the perimeter of a triangle by adding all the sides. There is no special rule for finding the perimeter.
How do you solve the lengths of a triangle using only all the angles?
You can't. You must know at least one length and at least two angles, or vice versa.
How do you find a side of triangle given 3 angles?
The angles of a triangle don't change no matter how big or small the triangle is, so finding the length is impossible, but you can find the ratio of the triangle from this, as so: -Set one side of the triangle equal to 1 -Use this information to solve (capital letters representing angles, lower-case representing sides) A= 30 a= 1 B= 60 b= C= 90 c= see how side a equals one? Next, you need to use the law of sines, which are as follows: this may look complex, but it's really not, all you need is a calculator, and it's easy enough: , so all you have to do is cross multiply (sin60*1, then divide that by sin30) and you should get 1.7, so: A= 30 a= 1 B= 60 b= 1.7 C= 90 c= then, you do the same to solve for c: you should get 2 A= 30 a= 1 B= 60 b= 1.7 C= 90 c= 2 and here are the ratios for this triangle. ------------------------------------- The law of sines states that, for sides A, B, C and angles a,b,c across the sides respectively, A/sin a = B/sin b = C/sin c Use this to figure out the sides, or the ratio of the sides. Another interesting fact is that this ratio is also equal to 2R, where R is the radius of the circumscribed circle.
What does it mean to ''solve a triangle''?
It means to find all of its sides and angles.
Is this statement true or falseYou can use the Law of Cosines to solve a triangle when you are given the lengths of the three sides and no angle measures?
true
How to solve for the base of isosceles triangle when only two sides are given?
You will also need the angles so that you can use the Isosceles Triangle Theorems to solve for the base of isosceles triangle when only two sides are given.
If two sides of a triangle are congruent then the angles opposite those sides are?
Correct as would be the case for an isosceles triangle or an equilateral triangle
If the only information given about an oblique triangle is the lengths of the three sides which method should you use to solve for the angles?
By using the cosine rule in trigonometry the angles of the triangle can be worked out.
How do you slove for a spherical triangle?
A spherical triangle is not a question or a puzzle that you can solve, or even slove! You need to specify what information you have and what you wish to solve for: angles, lengths of sides, perimeter, area and so on.
How do you figure out the length of one side of a triangle with the length of other two sides?
C^2=A^2+B^2. Pythagorean theorem. Note that this is only true for Right triangles (one of the angles is 90°). Side C is the longest side and is opposite the 90° angle. For any other triangle, you need at least 3 pieces of information (2 sides and an angle, or 2 angles and a side) to find the other parts of the triangle. In a right triangle, if you know 2 sides, then you have 3 pieces of info (one of the angles is 90°). For non-right triangles, you can use the Law of Sines or Law of Cosines to solve for the unknown information.
Which is enough given information needed to solve a right triangle?
Two sides, or two angles + one side.
How do you find the hypotenuse of a non right triangle?
To find the hypotenuse of a non-right triangle, you can use the Law of Cosines. This theorem states that the square of the length of one side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of those sides and the cosine of the angle between them. By rearranging the formula and plugging in the known side lengths and angles, you can solve for the length of the hypotenuse.
How do you Solve Angles in a triangle?
The 3 interior angles of any triangle add up to 180 degrees
Can you use the Law of Cosines to solve a triangle when you are given two side lengths and the included angle measure?
Yes, absolutely
Explain how to solve the area of this triangle?
The answer depends on what information you have: the lengths of 3 sides, 2 sides and the included angle, base and altitude, 1 side and 2 angles, etc.
