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When would you use the law of sines or law of cosines instead of a trigonometric ratio?
Trigonometric ratios, by themselves, can only be used for right angled triangles. The law of cosines or the sine law can be used for any triangle.
What is the formula for the third side of a triangle?
a2+b2=c2, but that only works for right triangles, where c is opposite the right angle. The law of cosines, see Related Link below, will help for non right triangles, but you need to know one of the angles.
What kind of triangles can the Pythagorean theorem be applied to?
Any right-angled triangle
Law of cosines with a right angle?
The law of cosines with a right angle is just the pythagorean theorem. The cosine of 90 degrees is 0. That is why the hypotenuse squared is equal to the sum of both of the legs squared
What traingle don't have a right angle?
Triangles without right angles are:- Scalene triangles Obtuse triangles Isosceles triangles Equilateral triangles
Can The law of cosines can only be applied to right triangles?
Cosine Rule: a2 = b2+c2-2bc*cos A is applicable to all triangles
Is it true that the law of cosines reduces the Pythagorean theorem with right triangles?
Yes
When would you use the law of sines or law of cosines instead of a trigonometric ratio?
Trigonometric ratios, by themselves, can only be used for right angled triangles. The law of cosines or the sine law can be used for any triangle.
What is the formula for the third side of a triangle?
a2+b2=c2, but that only works for right triangles, where c is opposite the right angle. The law of cosines, see Related Link below, will help for non right triangles, but you need to know one of the angles.
How is trigonometry applied?
Trigonometry is applied in construction and building, as trigonometry measures right angled triangles.
Can trig functions work on non-right triangles?
Yes. Look up the law of sines and the law of cosines as examples. there are also formulas that can find out the area of a non-right triangle.
Can trigonometry be applied only in right angled triangles?
No. It can be used on any triangle.
What kind of triangles can the Pythagorean theorem be applied to?
Any right-angled triangle
Is it true that Pythagorean theorem can only be used for right-angled triangles?
Yes. The Pythagorean Theorem is true for only right triangles. However, a variety of other similar equations can be used for other triangle types. Law of Sines: a/sinA = b/sinB = c/sinC Law of Cosines: c2 = a2 + b2 - 2ab*cosC
Law of cosines with a right angle?
The law of cosines with a right angle is just the pythagorean theorem. The cosine of 90 degrees is 0. That is why the hypotenuse squared is equal to the sum of both of the legs squared
Do all triangles have right angles?
No. Only right triangles do, and not all triangles can be right triangles. Equilateral triangles, for example, are always 60°-60°-60°. Isosceles and scalene triangles can be right triangles; all isosceles triangles have the additional useful property of being able to be split into two right triangles.
When you have a right angle what does the law of cosines reduce to?
cosine = adjacent/hypotenuse
