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Law of cosines with a right angle?

Updated: 12/11/2022
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12y ago

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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

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12y ago
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Q: Law of cosines with a right angle?
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Related questions

When you have a right angle what does the law of cosines reduce to?

cosine = adjacent/hypotenuse


How do you find a missing side of a triangle without a right angle?

Having sufficient angles or sides one can use either, The Law of Sines, or, The Law of Cosines. Google them.


Can the law of cosines be applied to right and non-right triangles?

Yes


When do you use the Law of Cosines?

We use the law of Cosines to be able to find : 1. The measure of the third side, when the measure of two sides and the included angle of a triangle ABC are known. 2. The measure of any angle, when the measure of the three sides of a triangle ABC are known.


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 does the law of cosines reduce to when dealing with a right triangle?

D. The Pythagorean Theorem


Is it true that the law of cosines reduces the Pythagorean theorem with right triangles?

Yes


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


What type of triangle has angle A 37 degree angle B 56 degree angle C 87 degree?

Acute triangle - all of the angles are less than a right angle (90°).Scalene triangle - none of the sides or angles are congruent. It can be shown that if no two angles are the same, then no two sides are the same using the Law of Sines and Law of Cosines.


How do you find the unknown angle of a triangle?

If you have two other angles, then add up those 2 and subtract that from 180. if you have all 3 sides then use the law of cosines: a squared = b squared + c squared - 2bc (cos A) If you have one angle and the 2 included sides, use the law of cosines as well. if you have an angle and the length of its opposite side, and the side opposite to the angle you want, then use the law of sines: sin A/ a = sin B/ b if you have the angle and the length of its opposite side and another angle, use the law of sines to figure out the unwanted angle anyway and then follow situation 1.


When do you use law of sines and law of cos sines?

Use Law of Sines if you know:Two angle measures and any side length orTwo side lengths and a non-included angle measure.Use Law of Cosines if you know:Two side lengths and the included angle measure orThree side lengths.


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