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).
In a right triangle, the side opposite the right angle is called....?
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.
In an isosceles triangle, what are each of the two equal sides called ?
In a right triangle, the two sides that form a right angle are called...?
Is the triangle in the drawing a right triangle?
In a right triangle, the side opposite the right angle is called....?
The problem requires us to identify the side of a right triangle that is opposite to its right angle.
In right triangles, one of the most crucial elements to recognize is the presence of a right angle (90 degrees).
The side that is directly across or opposite the right angle is known as the hypotenuse. It is also the longest side of a right triangle.
Therefore, when asked for the side opposite the right angle in a right triangle, the correct term is the hypotenuse.
Selection from the given choices corroborates our analysis:
Therefore, the correct answer is .
Hypotenuse
In an isosceles triangle, what are each of the two equal sides called ?
In an isosceles triangle, there are three sides: two sides of equal length and one distinct side. Our task is to identify what the equal sides are called.
To address this, let's review the basic properties of an isosceles triangle:
Therefore, each of the two equal sides in an isosceles triangle is called a "leg."
In our problem, we confirm that the correct terminology for these two equal sides is indeed "legs," distinguishing them from the "base," which is the unequal side. This aligns with both the typical definitions and properties of an isosceles triangle.
Thus, the equal sides in an isosceles triangle are known as legs.
Legs
In a right triangle, the two sides that form a right angle are called...?
In a right triangle, there are specific terms for the sides. The two sides that form the right angle are referred to as the legs of the triangle. To differentiate, the side opposite the right angle is called the hypotenuse, which is distinct due to being the longest side. Hence, in response to the problem, the sides forming the right angle are correctly identified as Legs.
Legs
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
Is the triangle in the drawing an acute-angled triangle?
An acute-angled triangle is defined as a triangle where all three interior angles are less than .
In examining the visual depiction of the triangle provided in the problem, we need to see if it appears to satisfy this property. The assessment relies on observing the triangle's structure shown in the drawing and noting any geometric indications suggesting angle types.
Given the information from the drawing, if all angles seem to satisfy the condition of being less than , then by definition, the triangle is an acute-angled triangle.
Conclusively, the answer to whether the triangle is acute-angled based on provided visual assessment and inherent assumptions in its illustration is: Yes.
Yes
