Can a triangle have two right angles?
Can a triangle have two right angles?
Look at the two triangles below. Is EC a side of one of the triangles?
Which of the following is the height in triangle ABC?
Given the following triangle:
Write down the height of the triangle ABC.
Is the straight line in the figure the height of the triangle?
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
Look at the two triangles below. Is EC a side of one of the triangles?
Every triangle has 3 sides. First let's go over the triangle on the left side:
Its sides are: AB, BC, and CA.
This means that in this triangle, side EC does not exist.
Let's then look at the triangle on the right side:
Its sides are: ED, EF, and FD.
This means that in this triangle, side EC also does not exist.
Therefore, EC is not a side in either of the triangles.
No
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
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
Is the straight line in the figure the height of the triangle?
No
Is the straight line in the figure the height of the triangle?
Is the straight line in the figure the height of the triangle?
Is the straight line in the figure the height of the triangle?
Is the straight line in the figure the height of the triangle?
Is the straight line in the figure the height of the triangle?
Is the straight line in the figure the height of the triangle?
No
Is the straight line in the figure the height of the triangle?
Yes
Is the straight line in the figure the height of the triangle?
Yes
Is the straight line in the figure the height of the triangle?
Yes
Is the straight line in the figure the height of the triangle?
No
Is the straight line in the figure the height of the triangle?
Is the straight line in the figure the height of the triangle?
Is the straight line in the figure the height of the triangle?
Is the straight line in the figure the height of the triangle?
Is the straight line in the figure the height of the triangle?
Is the straight line in the figure the height of the triangle?
No
Is the straight line in the figure the height of the triangle?
Yes
Is the straight line in the figure the height of the triangle?
No
Is the straight line in the figure the height of the triangle?
No
Is the straight line in the figure the height of the triangle?
No
Is the straight line in the figure the height of the triangle?
According to figure BC=CB?
Is DE a side in the triangle BDC?
DB is a side in triangle ABC
AB is a side in triangle ADB
Is the straight line in the figure the height of the triangle?
Yes
According to figure BC=CB?
True
Is DE a side in the triangle BDC?
Not true
DB is a side in triangle ABC
Not true
AB is a side in triangle ADB
True