# Find Angles in Right Angle Triangles

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• Sameh soliman
In summary, trigonometric functions are used to calculate angles in a right angle triangle, and there are some special cases where geometry can be used instead. The name "trigonometry" itself refers to the measurement of angles, making it an appropriate tool for this task.
Sameh soliman
TL;DR Summary
If it we know 3 sides of a right angle triangle, will it be possible to calculate the angles without using trig. Functions
If it we know 3 sides of a right angle triangle, will it be possible to calculate the angles without using trig. Functions

The side ratios are trig. functions of the angles. You can approximate angles using the power series of the inverse trig. functions.

Janosh89
Sameh soliman said:
Summary:: If it we know 3 sides of a right angle triangle, will it be possible to calculate the angles without using trig. Functions

If it we know 3 sides of a right angle triangle, will it be possible to calculate the angles without using trig. Functions
I'm trying to understand the reason for your question. This is what trig functions do. Why do you want another way to calculate the angles? What's wrong with trig functions? It's kind of like asking "can I find the sum of two numbers without using addition?"

That's exactly what trigonometric functions do.
There are some special cases where you can use geometry to find the angles, e.g. 45/45 degrees or 30/60 degrees.

Perhaps look at the etymology of 'trigonometry' ##-## 'tri - gono - metry' ##\leftrightarrow## 'three angle measurement' (or triangle measurement) ##-## exactly what you're seeking.

## 1. What is a right angle triangle?

A right angle triangle is a type of triangle that has one angle that measures exactly 90 degrees. This angle is called the right angle and is formed where two sides of the triangle meet.

## 2. How do you find the missing angle in a right angle triangle?

To find the missing angle in a right angle triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Once you know the lengths of two sides, you can use trigonometric functions such as sine, cosine, and tangent to find the missing angle.

## 3. What is the difference between the adjacent, opposite, and hypotenuse in a right angle triangle?

The adjacent side is the side that forms one of the acute angles with the hypotenuse. The opposite side is the side that forms the other acute angle with the hypotenuse. The hypotenuse is the longest side of the triangle and is always opposite the right angle.

## 4. Can you use the same method to find angles in all right angle triangles?

Yes, the same methods can be used to find angles in all right angle triangles. However, the specific trigonometric functions used may vary depending on the given information about the triangle.

## 5. How many angles can be found in a right angle triangle?

There are always three angles in a right angle triangle: the right angle, which is always 90 degrees, and two acute angles, which can vary in measurement depending on the specific triangle.

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