 # Does Pythagorean Theorem Work On Non Right Triangles?

## Does trigonometry apply to all triangles?

No, they work for all triangles.

The word, trigonometry, itself stems from Greek, and it means measuring triangles.

There are rules that only pertain to right triangles, but they are really just the special case where one angle is 90 degr.

A limited, if important, use..

## Why does the Pythagorean theorem only work for right triangles?

Pythagoras’ theorem states that for all right-angled triangles, ‘The square on the hypotenuse is equal to the sum of the squares on the other two sides’. The hypotenuse is the longest side and it’s always opposite the right angle. In this triangle a 2 = b 2 + c 2 and angle is a right angle.

## Does Trig work on non right triangles?

So far, we’ve only dealt with right triangles, but trigonometry can be easily applied to non-right triangles because any non-right triangle can be divided by an altitude * into two right triangles.

## Can sin cos and tan be used for non right triangles?

The Sine Rule can be used in any triangle (not just right-angled triangles) where a side and its opposite angle are known. You will only ever need two parts of the Sine Rule formula, not all three. You will need to know at least one pair of a side with its opposite angle to use the Sine Rule.

## Is Sohcahtoa only for right triangles?

They are often shortened to sin, cos and tan. The calculation is simply one side of a right angled triangle divided by another side … we just have to know which sides, and that is where “sohcahtoa” helps.

## How do you use the law of sines to find non right triangles?

The Law of Sines can be used to solve oblique triangles, which are non-right triangles. According to the Law of Sines, the ratio of the measurement of one of the angles to the length of its opposite side equals the other two ratios of angle measure to opposite side. There are three possible cases: ASA, AAS, SSA.

## Is Tan only for right triangles?

Explanation: Although most often trigonometric functions are used with right triangles there are some situations when they can be used for any type of triangle. Examples: If you have two sides given and an angle between them you can use the trigonometric functions the Law of Cosines to calculate the third side.

## Is hypotenuse only for right triangles?

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. … The length of the hypotenuse is the square root of 25, that is, 5.

## What does SOH CAH TOA mean?

sine equals opposite over hypotenuse”SOHCAHTOA” is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1)

## Does the Pythagorean apply to all 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. Put another way, if you know the lengths of a and b, you can find c.

## How do you use trigonometry on non right triangles?

Given two sides and the angle between them (SAS), find the measures of the remaining side and angles of a triangle.Sketch the triangle. … Apply the Law of Cosines to find the length of the unknown side or angle.Apply the Law of Sines or Cosines to find the measure of a second angle.More items…