In figure, is given with its three angles. Which are the two equal sides of the triangle? Name the largest side?
Important Questions on Properties of a Triangle
If the three angles of a triangle are in the ratio , find all its three angles?
Some triangles are given below and their medians are drawn. Fill up the blanks in the table accordingly.
|
Figure |
Name |
Distance of centroid from the vertex |
Distance of midpoint of opposite side |
Ratio |
|
_____ _____ _____ |
_____ _____ _____ |
_____ _____ _____ |
||
|
_____ _____ _____ |
_____ _____ _____ |
_____ _____ _____ |
||
|
_____ _____ _____ |
_____ _____ _____ |
_____ _____ _____ |
Draw an isosceles triangle and construct medians of its equal sides. Can you see a relation between the two medians. If yes, then write the relation.
Draw a triangle. Do the altitudes of the triangle meet at one point? Can we conclude that for orthocenter of the triangle, we need only two altitudes.
Construct an obtuse angle triangle and a scalene triangle in your notebook. Draw altitudes from each of the vertices to their opposite sides in both triangles. Similarly, draw the altitudes of the right angle triangle. What do you conclude? Write in your notebook.
Median of a triangle is the segment that joins the vertex to the _____ of the opposite side.
Altitude of a triangle is the segment that is an _____ from a vertex on the opposite side.
The medians of a triangle are _____.
