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How do you work out exterior angle for a triangle?

It is: 180-interior angle = exterior angle


Why does pythagorean theorem only work for right triangles?

The Pythagorean theorem applies specifically to right triangles because it defines a relationship between the lengths of the sides in a triangle where one angle is exactly 90 degrees. In this configuration, the lengths of the two legs (the sides forming the right angle) can be squared and summed to equal the square of the length of the hypotenuse (the side opposite the right angle). For triangles without a right angle, this relationship does not hold, as the properties of triangle geometry change, and the sum of the squares of the sides does not equal the square of the longest side. Thus, the theorem is uniquely suited to right triangles.


Why Does pythagorean theorem don't work for non right angle triangles?

The Pythagorean theorem specifically applies to right-angled triangles because it is based on the unique relationship between the lengths of the sides in such triangles. It states that the square of the length of the hypotenuse equals the sum of the squares of the other two sides (a² + b² = c²). In non-right triangles, this relationship does not hold, as the angles and side lengths do not conform to the theorem's criteria. Instead, the Law of Cosines is used for non-right triangles to relate their side lengths and angles.


Will the pythagorean theorem work with the measure of the sides of any triangle?

The Pythagorean theorem only applies to right triangles, where one angle measures 90 degrees. It states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. For triangles that are not right triangles, different formulas, such as the Law of Cosines, must be used to relate the sides and angles.


How is trigonometry helpful?

Trigonometry is helpful in many fields of geometry and a few of them are:- It helps to identify different types of triangles It helps to work out the sides and interior angles of triangles It helps to work out the properties of polygons It helps to work out the properties of a right angle triangle with Pythagoras' theorem It helps with navigating and working out distances

Related Questions

What kind of triangles does the Pythagorean theorem work for?

All right-angles triangles. That is triangles that contain one angle at 90 degrees.


Does Pythagorean Theorem work for triangles that don't have a 90 degree angle?

It does not; if there is no 90 degree angle there is no hypotenuse.


Does the Pythagorean Theorem work on all triangles with side length of 1?

It doesn't matter on the side length, but it MUST have a right angle.


Does the Pythagorean Theorem work on all triangles?

No, the pythagorean theorem only works on right triangles, but it will work on any right triangle. This is because the Pythagorean Theorem states that length of Leg A squared plus the length of Leg B Squared equals the length of the hypotenuse squared. A hypotenuse is always found opposite a right angle. Only right triangles have right angles; therefore, the Pythagorean Theorem only applies to right triangles. :D


Does pythagoras' theorem work for all triangles?

no only right triangles


Does the Pythagoream Theorem Work on all triangles?

No, only right triangles


How do you work out exterior angle for a triangle?

It is: 180-interior angle = exterior angle


Why does pythagorean theorem only work for right triangles?

The Pythagorean theorem applies specifically to right triangles because it defines a relationship between the lengths of the sides in a triangle where one angle is exactly 90 degrees. In this configuration, the lengths of the two legs (the sides forming the right angle) can be squared and summed to equal the square of the length of the hypotenuse (the side opposite the right angle). For triangles without a right angle, this relationship does not hold, as the properties of triangle geometry change, and the sum of the squares of the sides does not equal the square of the longest side. Thus, the theorem is uniquely suited to right triangles.


How do you work out exterior angle of an decagon?

You cannot. An exterior angle of a decagon can have any value.


Why Does pythagorean theorem don't work for non right angle triangles?

The Pythagorean theorem specifically applies to right-angled triangles because it is based on the unique relationship between the lengths of the sides in such triangles. It states that the square of the length of the hypotenuse equals the sum of the squares of the other two sides (a² + b² = c²). In non-right triangles, this relationship does not hold, as the angles and side lengths do not conform to the theorem's criteria. Instead, the Law of Cosines is used for non-right triangles to relate their side lengths and angles.


Will the pythagorean theorem work with the measure of the sides of any triangle?

The Pythagorean theorem only applies to right triangles, where one angle measures 90 degrees. It states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. For triangles that are not right triangles, different formulas, such as the Law of Cosines, must be used to relate the sides and angles.


Who used the Pythagoras theorem?

anyone doing work with right angled triangles