## Does Sohcahtoa work for non right triangles?

For right-angled triangles, we have Pythagoras’ Theorem and SOHCAHTOA. However, these methods do not work for non-right angled triangles. For non-right angled triangles, we have the cosine rule, the sine rule and a new expression for finding area.

### How do you find the sides of a triangle?

Given angle and hypotenuse Apply the law of sines or trigonometry to find the right triangle side lengths: a = c * sin(α) or a = c * cos(β) b = c * sin(β) or b = c * cos(α)

**How do you find an angle if you know all sides?**

“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.
- and finally use angles of a triangle add to 180° to find the last angle.

**What are the 3 sides of a triangle?**

Every triangle has three sides and three angles, some of which may be the same. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs.

## How do you find the missing side length of a triangle given the angles?

How to find the sides of a right triangle

- if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² – b²)
- if leg b is unknown, then. b = √(c² – a²)
- for hypotenuse c missing, the formula is. c = √(a² + b²)

### How do I find one side of a triangle?

**What is the sum of 3 sides of triangle?**

When it has three line segments joined end to end. Thus, we can say that a triangle is a polygon, which has three sides, three angles, three vertices and the sum of all three angles of any triangle equals 180°.

**What are the rules for non-right angled triangles?**

For non-right angled triangles, we have the cosine rule, the sine rule and a new expression for finding area. In order to use these rules, we require a technique for labelling the sides and angles of the non-right angled triangle.

## How to find the area of a non-right angled triangle?

For non-right angled triangles, we have the cosine rule, the sine rule and a new expression for finding area. In order to use these rules, we require a technique for labelling the sides and angles of the non-right angled triangle. This may mean that a relabelling of the features given in the actual question is needed.

### Which triangle is not a right triangle?

Any triangle that is not a right triangle is an oblique triangle. Solving an oblique triangle means finding the measurements of all three angles and all three sides.

**Is there a relationship between angles of a triangle without right angle?**

Note the one relationship that did not require a right angle is the angle sum property Theorem 7.1.3. In Figure 7.1.7 we saw that there was a relationship between angles of a triangle and the side ratios. More generally there is a relationship between an angle of a triangle and the side opposite it.