A right triangle is a triangle that has one right angle, meaning an angle of 90 degrees. Based on the fact that the sum of angles in any triangle is 180 degrees, we can conclude that the sum of the two remaining angles in a right triangle is 90 degrees. This means that both angles must be acute (less than 90 degrees).
Calculate the size of angle X given that the triangle is equilateral.
Here are some examples of right triangles:
For example, let's take any right triangle. It is known that one of the angles in this triangle is 45 degrees. We are asked to find the second acute angle in the given triangle.
Since this is a right triangle, meaning one of the angles equals 90 degrees, we can calculate and find that the second acute angle will be equal to 45 degrees. Why? Because it complements the first given acute angle to 90 degrees.
Can a right triangle be equilateral?
Choose the appropriate triangle according to the following:
Angle B equals 90 degrees.
Does every right triangle have an angle? The other two angles are?
Calculate the size of angle X given that the triangle is equilateral.
Remember that the sum of angles in a triangle is equal to 180.
In an equilateral triangle, all sides and all angles are equal to each other.
Therefore, we will calculate as follows:
We divide both sides by 3:
60
Choose the appropriate triangle according to the following:
Angle B equals 90 degrees.
Let's note in which of the triangles angle B forms a right angle, meaning an angle of 90 degrees.
In answers C+D, we can see that angle B is smaller than 90 degrees.
In answer A, it is equal to 90 degrees.
Given the values of the sides of a triangle, is it a triangle with different sides?
As is known, a scalene triangle is a triangle in which each side has a different length.
According to the given information, this is indeed a triangle where each side has a different length.
Yes
In a right triangle, the sum of the two non-right angles is...?
In a right-angled triangle, there is one angle that equals 90 degrees, and the other two angles sum up to 180 degrees (sum of angles in a triangle)
Therefore, the sum of the two non-right angles is 90 degrees
90 degrees
Is the triangle in the drawing a right triangle?
Due to the presence of the 90 degree angle symbol we can determine that this is indeed a right-angled triangle.
Yes
