Is the Pythagorean theorem only used on right triangles?

Note that the Pythagorean Theorem only works with right triangles. You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs.
A.

Can you only use trig on right triangles?

Yet trigonometry—a subject whose rules are generally based on right trianglescan still be used to solve a non-right triangle. You need different tools, though. Enter the laws of sines and cosines. In an oblique triangle, there are six unknowns: the three angle measures and the three side lengths.
• What is the law of cosines?

Law of Cosines. The law of cosines for calculating one side of a triangle when the angle opposite and the other two sides are known. Click on the highlighted text for either side c or angle C to initiate calculation.
• How do you find the missing angles of a triangle?

Step 2: Add together the two known angles inside the triangle. To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
• What is the law of sines used for?

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle (any shape) to the sines of its angles. It can also be used when two sides and one of the non-enclosed angles are known.
B.

Are the trigonometric functions only for right triangles?

The trigonometric functions are based on a measure of 90 degrees yes, but it is not restricted to work with only right triangles. You can use sine and cosine laws when the triangle isn't a right triangle.
• What is the ratio of tangent?

The tangent ratio is a tool used with right triangles that allows one to find the length of the sides of a triangle given the degree of its angles. It can also be used to find the degrees of its angle given the length of two of its sides.
• How do you find the angles of a triangle?

"SSS" is when we know three sides of the triangle, and want to find the missing angles. To solve an SSS triangle: use The Law of Cosines first to calculate one of the angles. then use The Law of Cosines again to find another angle.
• How do you find the third side of a triangle that is not right?

If you know two sides and the angle between them:
1. Use the Law of Cosines and plug in the values for the sides b, c, and the angle A.
2. Solve for side a.
3. Use the angle value with the Law of Sines to find angle B.
4. Use the Sum of the Angles with the two angles to find angle C.
C.

How do you find the third side of a triangle that is not right?

If you know two sides and the angle between them:
1. Use the Law of Cosines and plug in the values for the sides b, c, and the angle A.
2. Solve for side a.
3. Use the angle value with the Law of Sines to find angle B.
4. Use the Sum of the Angles with the two angles to find angle C.
• How do you find the sine of an angle?

Step 2 Use SOHCAHTOA to decide which one of Sine, Cosine or Tangent to use in this question. Step 3 For Sine calculate Opposite/Hypotenuse, for Cosine calculate Adjacent/Hypotenuse or for Tangent calculate Opposite/Adjacent. Step 4 Find the angle from your calculator, using one of sin-1, cos-1 or tan.
• What are the three Pythagorean identities?

The identity is given by the formula: (Note that sin2 θ means (sin θ)2). This relation between sine and cosine is sometimes called the fundamental Pythagorean trigonometric identity. Therefore, this trigonometric identity follows from the Pythagorean theorem.
• Who was Pythagoras married to?

Some historians say that Pythagoras was married to a woman named Theano and had a daughter Damo, and a son named Telauges, who succeeded Pythagoras as a teacher and possibly taught Empedocles. Others say that Theano was one of his students, not his wife, and say that Pythagoras never married and had no children.

Updated: 2nd October 2019