In a Right Triangle you have one angle - how do you find the other?

In summary, to find the other angle, beta, given a right triangle with one angle, alpha, you need to add alpha to the number of degrees in a right angle and subtract the sum from the total number of degrees in a triangle. This will give you the measure of beta.
  • #1
Philosophaie
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If you have a Right Triangle and you have one angle, alpha. How do you find the other angle, beta?
 
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  • #2
Philosophaie said:
If you have a Right Triangle and you have one angle, alpha. How do you find the other angle, beta?

The interior angles of triangles always add up to a specific number of degrees, and that number is the same for all triangles. Do you know what it is?

Given a right triangle, you should automatically know the number of degrees of the angle that defines it as a right triangle. That is: all right angles are the same specific number of degrees, and a right triangle is only a right triangle because it contains one angle with this specific number of degrees. How many degrees are there in a right angle?

In this problem, you have been given another angle as well. You just add that to the number of degrees there always are in a right angle, and subtract them both from the well known number that all triangles add up to. The difference is the measure of the third angle.
 
  • #3
are you in euclidean geometry? if so it is easy, if not it is not possible.
 

1. What is a right triangle?

A right triangle is a type of triangle with one angle that measures exactly 90 degrees. This angle is often referred to as the "right angle."

2. How do you label the sides of a right triangle?

The side opposite the right angle is called the hypotenuse, while the other two sides are called the legs. The leg adjacent to the angle we know is called the adjacent side, while the leg opposite to the angle we know is called the opposite side.

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

In a right triangle, the sum of all angles is always 180 degrees. Therefore, if we know one angle, we can find the missing angle by subtracting the known angle from 180 degrees.

4. What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. This can be written as a^2 + b^2 = c^2, where c is the hypotenuse and a and b are the legs.

5. How do you use the Pythagorean theorem to find the missing side in a right triangle?

If we know the lengths of two sides of a right triangle, we can use the Pythagorean theorem to find the length of the third side. We can rearrange the formula to solve for the missing side, which would be c = √(a^2 + b^2).

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