# 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 triangles**—**can**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:**- Use the Law of Cosines and plug in the values for the sides b, c, and the angle A.
- Solve for side a.
- Use the angle value with the Law of Sines to find angle B.
- 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:**

- Use the Law of Cosines and plug in the values for the sides b, c, and the angle A.
- Solve for side a.
- Use the angle value with the Law of Sines to find angle B.
- 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 sin^{2}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