Every triangle has three sides. The sides allow us to classify the different types of triangles according to their size.
For example, a triangle with two equal sides (edges) is an isosceles triangle and one in which all its sides (edges) are equal is an equilateral triangle. While a triangle that has all its sides different is an equilateral triangle.
True or false:
DE not a side in any of the triangles.
Recall that the perimeter of a plane figure is its edge, so in a triangle the perimeter is the sum of its three sides (edges).
In any triangle the sum of the length of any two of its sides must be greater than the length of the third side.
Is DE side in one of the triangles?
The triangle ABC is shown below.
To which side(s) are the median and the altitude drawn?
The triangle ABC is shown below.
Which line segment is the median?
Given a triangle with sides , and . Calculate the perimeter.
Solution
We know that the perimeter of a triangle is the sum of its three sides, therefore,
Answer:
Tell if it is possible to construct a triangle in which its sides measure , and .
Solution
Recall that in order to construct a triangle, the sum of any two sides must be greater than the third side.
If we add the sides with measures and , we get as a result , which is less than the third side.
Answer:
Therefore, it is not possible to construct a triangle with the given measures.
Look at triangle ABC below.
What is the median of the triangle and to which side is it drawn?
Look at triangle ABC below.
Which is the median?
Look at the triangle ABC below.
\( AD=\frac{1}{2}AB \)
\( BE=\frac{1}{2}EC \)
What is the median in the triangle?
If an equilateral triangle has perimeter . How long is each side?
Solution
Since the triangle is equilateral we know that its sides are equal, so we just divide the perimeter by three to get the measure of each side. lado.
Answer:
Tell if it is possible to construct a triangle in which its sides measure , and .
Solution
We add the lengths of any two sides (edges) and compare with the length of the remaining side.
Answer:
So if it is possible to construct a triangle of measures , and on each side.
ABC is a triangle.
What is the median of the triangle?
Look at the triangles in the figure.
Which line is the median of triangle ABC?
What is the median of triangle ABC?
How many sides does a triangle have?
A triangle has three sides.
How many edges does a triangle have?
A triangle has three edges.
What are the edges of a triangle?
The edges of a triangle, commonly called the sides of a triangle, are the straight lines that bound the faces of the triangle.
What are the edges of a figure?
In a plane figure, the edges or sides are the line segments that join two vertices, and form the outline or perimeter of the figure.
Query
Does that side not exist as part of any of the triangles?
Solution
A side in a triangle is a line that passes between one of the 3 points that are the angles of the triangle.
In this case the line does not pass between the extreme angles of any of the triangles but goes out through a point which is in fact an angle in a triangle but ends at the point which is not an angle in any of the triangles in the figure.
Answer
True
What is the median of triangle ABC.
Look at the triangle ABC below.
Which of the following lines is the median of the triangle?
Look at the triangle ABC below.
Which of the line segments is the median?
Question:
Do the triangles in the drawing overlap?
Solution
We can observe that according to the theorem of superposition: side, side, angle.
We can observe that there are 2 sides equal in length and an angle equal in size.
Answer
Yes
Question
What type of triangle is drawn here?
Solution
It can be seen that in this triangle each of its three angles is of different size so it can be said that it is a scalene triangle.
Answer
Scalene triangle
True or false:
AB is a side of the triangle ABC.
True or false:
AD is a side of triangle ABC.
True or false:
DE not a side in any of the triangles.
Consigna
Given the following triangle:
The perimeter of the triangle is
How much is ?
Solution
To solve the task we replace all the data we have in the equation to calculate the perimeter of the triangle:
Let's remember... The perimeter of the triangle is equal to the sum of its 3 sides.
If we calculate the equation we find that:
We divide the equation by to find the value of.
Answer
Request
Given the equilateral triangle
The perimeter of the triangle is , what is the value of ?
Solution
One of the characteristics of an equilateral triangle is obviously that each of its sides are equal, i.e. if one side is worth all its sides will be equal to
Answer
Is DE side in one of the triangles?
The triangle ABC is shown below.
To which side(s) are the median and the altitude drawn?
The triangle ABC is shown below.
Which line segment is the median?
ABC is an isosceles triangle.
AD is the median.
What is the size of angle ?
In an isosceles triangle, the median to the base is also the height to the base.
That is, side AD forms a 90° angle with side BC.
That is, two right triangles are created.
Therefore, angle ADC is equal to 90 degrees.
90
Given the following triangle:
Write down the height of the triangle ABC.
An altitude in a triangle is the segment that connects the vertex and the opposite side, in such a way that the segment forms a 90-degree angle with the side.
If we look at the image it is clear that the above theorem is true for the line AE. AE not only connects the A vertex with the opposite side. It also crosses BC forming a 90-degree angle. Undoubtedly making AE the altitude.
AE
Which of the following is the height in triangle ABC?
Let's remember the definition of height of a triangle:
A height is a straight line that descends from the vertex of a triangle and forms a 90-degree angle with the opposite side.
The sides that form a 90-degree angle are sides AB and BC. Therefore, the height is AB.
AB
Can a triangle have two right angles?
The sum of angles in a triangle is 180 degrees. Since two angles of 90 degrees equal 180, a triangle can never have two right angles.
No
True or false?
Given that the angles alpha and beta are on the same straight line and given that they are adjacent angles. Together they are equal to 180 degrees and the statement is true.
True
